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Finding the Fourth Proportional to 10,602.10, 15,903.15 and 8,149.30

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Solution

The fourth proportional to 10,602.10, 15,903.15 and 8,149.30 is: 12,223.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.10 : 15,903.15 = 8,149.30 : x
  2. Step 2: Convert to fraction form
    10,602.10/15,903.15 = 8,149.30/x
  3. Step 3: Cross multiply
    10,602.10x = 15,903.15 × 8,149.30
  4. Step 4: Simplify right side
    10,602.10x = 129,599,540.30
  5. Step 5: Solve for x
    x = 129,599,540.30/10,602.10
  6. Step 6: Final answer
    x = 12,223.95

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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.