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Finding the Fourth Proportional to 14,287.92, 19,724.16 and 9,515.80

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Solution

The fourth proportional to 14,287.92, 19,724.16 and 9,515.80 is: 13,136.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287.92 : 19,724.16 = 9,515.80 : x
  2. Step 2: Convert to fraction form
    14,287.92/19,724.16 = 9,515.80/x
  3. Step 3: Cross multiply
    14,287.92x = 19,724.16 × 9,515.80
  4. Step 4: Simplify right side
    14,287.92x = 187,691,161.73
  5. Step 5: Solve for x
    x = 187,691,161.73/14,287.92
  6. Step 6: Final answer
    x = 13,136.36

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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.