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Finding the Fourth Proportional to 23,728, 32,744.10 and 13,117.72

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Solution

The fourth proportional to 23,728, 32,744.10 and 13,117.72 is: 18,102.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,728 : 32,744.10 = 13,117.72 : x
  2. Step 2: Convert to fraction form
    23,728/32,744.10 = 13,117.72/x
  3. Step 3: Cross multiply
    23,728x = 32,744.10 × 13,117.72
  4. Step 4: Simplify right side
    23,728x = 429,527,935.45
  5. Step 5: Solve for x
    x = 429,527,935.45/23,728
  6. Step 6: Final answer
    x = 18,102.16

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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.