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Finding the Fourth Proportional to 6,139.68, 9,213.46 and 6,117

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Solution

The fourth proportional to 6,139.68, 9,213.46 and 6,117 is: 9,179.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.68 : 9,213.46 = 6,117 : x
  2. Step 2: Convert to fraction form
    6,139.68/9,213.46 = 6,117/x
  3. Step 3: Cross multiply
    6,139.68x = 9,213.46 × 6,117
  4. Step 4: Simplify right side
    6,139.68x = 56,358,719.53
  5. Step 5: Solve for x
    x = 56,358,719.53/6,139.68
  6. Step 6: Final answer
    x = 9,179.42

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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.