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Finding the Fourth Proportional to 10,199.60, 15,300.48 and 8,916.56

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Solution

The fourth proportional to 10,199.60, 15,300.48 and 8,916.56 is: 13,375.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.60 : 15,300.48 = 8,916.56 : x
  2. Step 2: Convert to fraction form
    10,199.60/15,300.48 = 8,916.56/x
  3. Step 3: Cross multiply
    10,199.60x = 15,300.48 × 8,916.56
  4. Step 4: Simplify right side
    10,199.60x = 136,427,647.95
  5. Step 5: Solve for x
    x = 136,427,647.95/10,199.60
  6. Step 6: Final answer
    x = 13,375.78

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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.