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Finding the Fourth Proportional to 8,686.53, 13,036.10 and 5,906.61

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Solution

The fourth proportional to 8,686.53, 13,036.10 and 5,906.61 is: 8,864.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.53 : 13,036.10 = 5,906.61 : x
  2. Step 2: Convert to fraction form
    8,686.53/13,036.10 = 5,906.61/x
  3. Step 3: Cross multiply
    8,686.53x = 13,036.10 × 5,906.61
  4. Step 4: Simplify right side
    8,686.53x = 76,999,129.09
  5. Step 5: Solve for x
    x = 76,999,129.09/8,686.53
  6. Step 6: Final answer
    x = 8,864.20

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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.