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Finding the Fourth Proportional to 10,022.85, 15,102 and 8,306.06

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Solution

The fourth proportional to 10,022.85, 15,102 and 8,306.06 is: 12,515.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022.85 : 15,102 = 8,306.06 : x
  2. Step 2: Convert to fraction form
    10,022.85/15,102 = 8,306.06/x
  3. Step 3: Cross multiply
    10,022.85x = 15,102 × 8,306.06
  4. Step 4: Simplify right side
    10,022.85x = 125,438,042.61
  5. Step 5: Solve for x
    x = 125,438,042.61/10,022.85
  6. Step 6: Final answer
    x = 12,515.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.