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Finding the Fourth Proportional to 6,437.38, 9,639.72 and 5,394.64

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Solution

The fourth proportional to 6,437.38, 9,639.72 and 5,394.64 is: 8,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.38 : 9,639.72 = 5,394.64 : x
  2. Step 2: Convert to fraction form
    6,437.38/9,639.72 = 5,394.64/x
  3. Step 3: Cross multiply
    6,437.38x = 9,639.72 × 5,394.64
  4. Step 4: Simplify right side
    6,437.38x = 52,002,819.10
  5. Step 5: Solve for x
    x = 52,002,819.10/6,437.38
  6. Step 6: Final answer
    x = 8,078.26

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1.5x scale

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.