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Finding the Fourth Proportional to 16,387.62, 22,615 and 9,314.04

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Solution

The fourth proportional to 16,387.62, 22,615 and 9,314.04 is: 12,853.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,387.62 : 22,615 = 9,314.04 : x
  2. Step 2: Convert to fraction form
    16,387.62/22,615 = 9,314.04/x
  3. Step 3: Cross multiply
    16,387.62x = 22,615 × 9,314.04
  4. Step 4: Simplify right side
    16,387.62x = 210,637,014.60
  5. Step 5: Solve for x
    x = 210,637,014.60/16,387.62
  6. Step 6: Final answer
    x = 12,853.42

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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.