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Finding the Fourth Proportional to 9,489.82, 13,102.11 and 8,493.37

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Solution

The fourth proportional to 9,489.82, 13,102.11 and 8,493.37 is: 11,726.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.82 : 13,102.11 = 8,493.37 : x
  2. Step 2: Convert to fraction form
    9,489.82/13,102.11 = 8,493.37/x
  3. Step 3: Cross multiply
    9,489.82x = 13,102.11 × 8,493.37
  4. Step 4: Simplify right side
    9,489.82x = 111,281,068.01
  5. Step 5: Solve for x
    x = 111,281,068.01/9,489.82
  6. Step 6: Final answer
    x = 11,726.36

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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.