Home / 1,287.12-1,931.31-702.10

Finding the Fourth Proportional to 1,287.12, 1,931.31 and 702.10

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Solution

The fourth proportional to 1,287.12, 1,931.31 and 702.10 is: 1,053.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.12 : 1,931.31 = 702.10 : x
  2. Step 2: Convert to fraction form
    1,287.12/1,931.31 = 702.10/x
  3. Step 3: Cross multiply
    1,287.12x = 1,931.31 × 702.10
  4. Step 4: Simplify right side
    1,287.12x = 1,355,975.17
  5. Step 5: Solve for x
    x = 1,355,975.17/1,287.12
  6. Step 6: Final answer
    x = 1,053.49

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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.