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Finding the Fourth Proportional to 9,489.57, 13,101.77 and 8,493.12

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Solution

The fourth proportional to 9,489.57, 13,101.77 and 8,493.12 is: 11,726.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.57 : 13,101.77 = 8,493.12 : x
  2. Step 2: Convert to fraction form
    9,489.57/13,101.77 = 8,493.12/x
  3. Step 3: Cross multiply
    9,489.57x = 13,101.77 × 8,493.12
  4. Step 4: Simplify right side
    9,489.57x = 111,274,862.36
  5. Step 5: Solve for x
    x = 111,274,862.36/9,489.57
  6. Step 6: Final answer
    x = 11,726.02

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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.