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Finding the Fourth Proportional to 8,101.38, 12,132.64 and 4,631.34

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Solution

The fourth proportional to 8,101.38, 12,132.64 and 4,631.34 is: 6,935.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.38 : 12,132.64 = 4,631.34 : x
  2. Step 2: Convert to fraction form
    8,101.38/12,132.64 = 4,631.34/x
  3. Step 3: Cross multiply
    8,101.38x = 12,132.64 × 4,631.34
  4. Step 4: Simplify right side
    8,101.38x = 56,190,406.17
  5. Step 5: Solve for x
    x = 56,190,406.17/8,101.38
  6. Step 6: Final answer
    x = 6,935.90

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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.