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Finding the Fourth Proportional to 10,408.80, 15,620.40 and 7,489.20

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Solution

The fourth proportional to 10,408.80, 15,620.40 and 7,489.20 is: 11,238.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.80 : 15,620.40 = 7,489.20 : x
  2. Step 2: Convert to fraction form
    10,408.80/15,620.40 = 7,489.20/x
  3. Step 3: Cross multiply
    10,408.80x = 15,620.40 × 7,489.20
  4. Step 4: Simplify right side
    10,408.80x = 116,984,299.68
  5. Step 5: Solve for x
    x = 116,984,299.68/10,408.80
  6. Step 6: Final answer
    x = 11,238.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.