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Finding the Fourth Proportional to 7,427.44, 11,146.02 and 2,810.44

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Solution

The fourth proportional to 7,427.44, 11,146.02 and 2,810.44 is: 4,217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.44 : 11,146.02 = 2,810.44 : x
  2. Step 2: Convert to fraction form
    7,427.44/11,146.02 = 2,810.44/x
  3. Step 3: Cross multiply
    7,427.44x = 11,146.02 × 2,810.44
  4. Step 4: Simplify right side
    7,427.44x = 31,325,192.58
  5. Step 5: Solve for x
    x = 31,325,192.58/7,427.44
  6. Step 6: Final answer
    x = 4,217.50

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Half scale
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Double scale
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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.