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Finding the Fourth Proportional to 16,385.40, 24,578.10 and 14,657.40

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Solution

The fourth proportional to 16,385.40, 24,578.10 and 14,657.40 is: 21,986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,385.40 : 24,578.10 = 14,657.40 : x
  2. Step 2: Convert to fraction form
    16,385.40/24,578.10 = 14,657.40/x
  3. Step 3: Cross multiply
    16,385.40x = 24,578.10 × 14,657.40
  4. Step 4: Simplify right side
    16,385.40x = 360,251,042.94
  5. Step 5: Solve for x
    x = 360,251,042.94/16,385.40
  6. Step 6: Final answer
    x = 21,986.10

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Similar ratio
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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.