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Finding the Fourth Proportional to 8,434.38, 11,637 and 5,451.96

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Solution

The fourth proportional to 8,434.38, 11,637 and 5,451.96 is: 7,522.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.38 : 11,637 = 5,451.96 : x
  2. Step 2: Convert to fraction form
    8,434.38/11,637 = 5,451.96/x
  3. Step 3: Cross multiply
    8,434.38x = 11,637 × 5,451.96
  4. Step 4: Simplify right side
    8,434.38x = 63,444,458.52
  5. Step 5: Solve for x
    x = 63,444,458.52/8,434.38
  6. Step 6: Final answer
    x = 7,522.12

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1.5x scale

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.