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Finding the Fourth Proportional to 10,898, 15,010.59 and 8,375.28

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Solution

The fourth proportional to 10,898, 15,010.59 and 8,375.28 is: 11,535.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898 : 15,010.59 = 8,375.28 : x
  2. Step 2: Convert to fraction form
    10,898/15,010.59 = 8,375.28/x
  3. Step 3: Cross multiply
    10,898x = 15,010.59 × 8,375.28
  4. Step 4: Simplify right side
    10,898x = 125,717,894.22
  5. Step 5: Solve for x
    x = 125,717,894.22/10,898
  6. Step 6: Final answer
    x = 11,535.87

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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.