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Finding the Fourth Proportional to 9,126.90, 12,594.90 and 5,147.82

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Solution

The fourth proportional to 9,126.90, 12,594.90 and 5,147.82 is: 7,103.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.90 : 12,594.90 = 5,147.82 : x
  2. Step 2: Convert to fraction form
    9,126.90/12,594.90 = 5,147.82/x
  3. Step 3: Cross multiply
    9,126.90x = 12,594.90 × 5,147.82
  4. Step 4: Simplify right side
    9,126.90x = 64,836,278.12
  5. Step 5: Solve for x
    x = 64,836,278.12/9,126.90
  6. Step 6: Final answer
    x = 7,103.87

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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.