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Finding the Fourth Proportional to 6,464.47, 9,711.29 and 3,869.23

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Solution

The fourth proportional to 6,464.47, 9,711.29 and 3,869.23 is: 5,812.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.47 : 9,711.29 = 3,869.23 : x
  2. Step 2: Convert to fraction form
    6,464.47/9,711.29 = 3,869.23/x
  3. Step 3: Cross multiply
    6,464.47x = 9,711.29 × 3,869.23
  4. Step 4: Simplify right side
    6,464.47x = 37,575,214.61
  5. Step 5: Solve for x
    x = 37,575,214.61/6,464.47
  6. Step 6: Final answer
    x = 5,812.57

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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.