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Finding the Fourth Proportional to 10,114.88, 15,150.72 and 9,431.36

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Solution

The fourth proportional to 10,114.88, 15,150.72 and 9,431.36 is: 14,126.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.88 : 15,150.72 = 9,431.36 : x
  2. Step 2: Convert to fraction form
    10,114.88/15,150.72 = 9,431.36/x
  3. Step 3: Cross multiply
    10,114.88x = 15,150.72 × 9,431.36
  4. Step 4: Simplify right side
    10,114.88x = 142,891,894.58
  5. Step 5: Solve for x
    x = 142,891,894.58/10,114.88
  6. Step 6: Final answer
    x = 14,126.90

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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.