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Finding the Fourth Proportional to 10,981.58, 15,156.87 and 10,095.98

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Solution

The fourth proportional to 10,981.58, 15,156.87 and 10,095.98 is: 13,934.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,981.58 : 15,156.87 = 10,095.98 : x
  2. Step 2: Convert to fraction form
    10,981.58/15,156.87 = 10,095.98/x
  3. Step 3: Cross multiply
    10,981.58x = 15,156.87 × 10,095.98
  4. Step 4: Simplify right side
    10,981.58x = 153,023,456.38
  5. Step 5: Solve for x
    x = 153,023,456.38/10,981.58
  6. Step 6: Final answer
    x = 13,934.56

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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.