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Finding the Fourth Proportional to 16,487.80, 22,761.05 and 9,412.86

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Solution

The fourth proportional to 16,487.80, 22,761.05 and 9,412.86 is: 12,994.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,487.80 : 22,761.05 = 9,412.86 : x
  2. Step 2: Convert to fraction form
    16,487.80/22,761.05 = 9,412.86/x
  3. Step 3: Cross multiply
    16,487.80x = 22,761.05 × 9,412.86
  4. Step 4: Simplify right side
    16,487.80x = 214,246,577.10
  5. Step 5: Solve for x
    x = 214,246,577.10/16,487.80
  6. Step 6: Final answer
    x = 12,994.25

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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.