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Finding the Fourth Proportional to 1,387.53, 1,915.11 and 968.76

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Solution

The fourth proportional to 1,387.53, 1,915.11 and 968.76 is: 1,337.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.53 : 1,915.11 = 968.76 : x
  2. Step 2: Convert to fraction form
    1,387.53/1,915.11 = 968.76/x
  3. Step 3: Cross multiply
    1,387.53x = 1,915.11 × 968.76
  4. Step 4: Simplify right side
    1,387.53x = 1,855,281.96
  5. Step 5: Solve for x
    x = 1,855,281.96/1,387.53
  6. Step 6: Final answer
    x = 1,337.11

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.