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Finding the Fourth Proportional to 3,136.52, 4,702.65 and 1,287.10

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Solution

The fourth proportional to 3,136.52, 4,702.65 and 1,287.10 is: 1,929.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.52 : 4,702.65 = 1,287.10 : x
  2. Step 2: Convert to fraction form
    3,136.52/4,702.65 = 1,287.10/x
  3. Step 3: Cross multiply
    3,136.52x = 4,702.65 × 1,287.10
  4. Step 4: Simplify right side
    3,136.52x = 6,052,780.82
  5. Step 5: Solve for x
    x = 6,052,780.82/3,136.52
  6. Step 6: Final answer
    x = 1,929.78

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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.