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Finding the Fourth Proportional to 10,468.85, 15,686.86 and 8,902.41

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Solution

The fourth proportional to 10,468.85, 15,686.86 and 8,902.41 is: 13,339.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.85 : 15,686.86 = 8,902.41 : x
  2. Step 2: Convert to fraction form
    10,468.85/15,686.86 = 8,902.41/x
  3. Step 3: Cross multiply
    10,468.85x = 15,686.86 × 8,902.41
  4. Step 4: Simplify right side
    10,468.85x = 139,650,859.33
  5. Step 5: Solve for x
    x = 139,650,859.33/10,468.85
  6. Step 6: Final answer
    x = 13,339.66

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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.