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Finding the Fourth Proportional to 9,098, 13,542.82 and 8,673.20

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Solution

The fourth proportional to 9,098, 13,542.82 and 8,673.20 is: 12,910.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098 : 13,542.82 = 8,673.20 : x
  2. Step 2: Convert to fraction form
    9,098/13,542.82 = 8,673.20/x
  3. Step 3: Cross multiply
    9,098x = 13,542.82 × 8,673.20
  4. Step 4: Simplify right side
    9,098x = 117,459,586.42
  5. Step 5: Solve for x
    x = 117,459,586.42/9,098
  6. Step 6: Final answer
    x = 12,910.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.