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Finding the Fourth Proportional to 2,702.75, 4,053.11 and 947.23

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Solution

The fourth proportional to 2,702.75, 4,053.11 and 947.23 is: 1,420.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.75 : 4,053.11 = 947.23 : x
  2. Step 2: Convert to fraction form
    2,702.75/4,053.11 = 947.23/x
  3. Step 3: Cross multiply
    2,702.75x = 4,053.11 × 947.23
  4. Step 4: Simplify right side
    2,702.75x = 3,839,212.52
  5. Step 5: Solve for x
    x = 3,839,212.52/2,702.75
  6. Step 6: Final answer
    x = 1,420.49

Related Problems

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Half scale
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Double scale
Find fourth proportional to 2,703.75, 4,054.60 and 948.23
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.