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Finding the Fourth Proportional to 10,339.20, 15,503.04 and 9,109.44

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Solution

The fourth proportional to 10,339.20, 15,503.04 and 9,109.44 is: 13,659.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.20 : 15,503.04 = 9,109.44 : x
  2. Step 2: Convert to fraction form
    10,339.20/15,503.04 = 9,109.44/x
  3. Step 3: Cross multiply
    10,339.20x = 15,503.04 × 9,109.44
  4. Step 4: Simplify right side
    10,339.20x = 141,224,012.70
  5. Step 5: Solve for x
    x = 141,224,012.70/10,339.20
  6. Step 6: Final answer
    x = 13,659.09

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