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Finding the Fourth Proportional to 16,509.12, 24,770 and 9,940

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Solution

The fourth proportional to 16,509.12, 24,770 and 9,940 is: 14,913.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.12 : 24,770 = 9,940 : x
  2. Step 2: Convert to fraction form
    16,509.12/24,770 = 9,940/x
  3. Step 3: Cross multiply
    16,509.12x = 24,770 × 9,940
  4. Step 4: Simplify right side
    16,509.12x = 246,213,800
  5. Step 5: Solve for x
    x = 246,213,800/16,509.12
  6. Step 6: Final answer
    x = 14,913.81

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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.