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Finding the Fourth Proportional to 6,387.74, 8,815.14 and 3,734.63

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Solution

The fourth proportional to 6,387.74, 8,815.14 and 3,734.63 is: 5,153.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.74 : 8,815.14 = 3,734.63 : x
  2. Step 2: Convert to fraction form
    6,387.74/8,815.14 = 3,734.63/x
  3. Step 3: Cross multiply
    6,387.74x = 8,815.14 × 3,734.63
  4. Step 4: Simplify right side
    6,387.74x = 32,921,242.22
  5. Step 5: Solve for x
    x = 32,921,242.22/6,387.74
  6. Step 6: Final answer
    x = 5,153.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.