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Finding the Fourth Proportional to 6,558, 9,818.29 and 6,144.15

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Solution

The fourth proportional to 6,558, 9,818.29 and 6,144.15 is: 9,198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558 : 9,818.29 = 6,144.15 : x
  2. Step 2: Convert to fraction form
    6,558/9,818.29 = 6,144.15/x
  3. Step 3: Cross multiply
    6,558x = 9,818.29 × 6,144.15
  4. Step 4: Simplify right side
    6,558x = 60,325,046.50
  5. Step 5: Solve for x
    x = 60,325,046.50/6,558
  6. Step 6: Final answer
    x = 9,198.70

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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.