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Finding the Fourth Proportional to 6,613.74, 9,869.49 and 5,877.45

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Solution

The fourth proportional to 6,613.74, 9,869.49 and 5,877.45 is: 8,770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613.74 : 9,869.49 = 5,877.45 : x
  2. Step 2: Convert to fraction form
    6,613.74/9,869.49 = 5,877.45/x
  3. Step 3: Cross multiply
    6,613.74x = 9,869.49 × 5,877.45
  4. Step 4: Simplify right side
    6,613.74x = 58,007,434.00
  5. Step 5: Solve for x
    x = 58,007,434.00/6,613.74
  6. Step 6: Final answer
    x = 8,770.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.