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Finding the Fourth Proportional to 1,802.25, 2,487.11 and 974.25

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Solution

The fourth proportional to 1,802.25, 2,487.11 and 974.25 is: 1,344.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.25 : 2,487.11 = 974.25 : x
  2. Step 2: Convert to fraction form
    1,802.25/2,487.11 = 974.25/x
  3. Step 3: Cross multiply
    1,802.25x = 2,487.11 × 974.25
  4. Step 4: Simplify right side
    1,802.25x = 2,423,062.05
  5. Step 5: Solve for x
    x = 2,423,062.05/1,802.25
  6. Step 6: Final answer
    x = 1,344.47

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.