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Finding the Fourth Proportional to 6,387.81, 9,587.54 and 3,269.97

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Solution

The fourth proportional to 6,387.81, 9,587.54 and 3,269.97 is: 4,907.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.81 : 9,587.54 = 3,269.97 : x
  2. Step 2: Convert to fraction form
    6,387.81/9,587.54 = 3,269.97/x
  3. Step 3: Cross multiply
    6,387.81x = 9,587.54 × 3,269.97
  4. Step 4: Simplify right side
    6,387.81x = 31,350,968.17
  5. Step 5: Solve for x
    x = 31,350,968.17/6,387.81
  6. Step 6: Final answer
    x = 4,907.94

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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.