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Finding the Fourth Proportional to 1,387.48, 1,914.30 and 972.76

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Solution

The fourth proportional to 1,387.48, 1,914.30 and 972.76 is: 1,342.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.48 : 1,914.30 = 972.76 : x
  2. Step 2: Convert to fraction form
    1,387.48/1,914.30 = 972.76/x
  3. Step 3: Cross multiply
    1,387.48x = 1,914.30 × 972.76
  4. Step 4: Simplify right side
    1,387.48x = 1,862,154.47
  5. Step 5: Solve for x
    x = 1,862,154.47/1,387.48
  6. Step 6: Final answer
    x = 1,342.11

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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.