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Finding the Fourth Proportional to 25,696.16, 38,520.86 and 9,891.11

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Solution

The fourth proportional to 25,696.16, 38,520.86 and 9,891.11 is: 14,827.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,696.16 : 38,520.86 = 9,891.11 : x
  2. Step 2: Convert to fraction form
    25,696.16/38,520.86 = 9,891.11/x
  3. Step 3: Cross multiply
    25,696.16x = 38,520.86 × 9,891.11
  4. Step 4: Simplify right side
    25,696.16x = 381,013,821.49
  5. Step 5: Solve for x
    x = 381,013,821.49/25,696.16
  6. Step 6: Final answer
    x = 14,827.66

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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.