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Finding the Fourth Proportional to 10,095.20, 15,131.91 and 9,629.42

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Solution

The fourth proportional to 10,095.20, 15,131.91 and 9,629.42 is: 14,433.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.20 : 15,131.91 = 9,629.42 : x
  2. Step 2: Convert to fraction form
    10,095.20/15,131.91 = 9,629.42/x
  3. Step 3: Cross multiply
    10,095.20x = 15,131.91 × 9,629.42
  4. Step 4: Simplify right side
    10,095.20x = 145,711,477.24
  5. Step 5: Solve for x
    x = 145,711,477.24/10,095.20
  6. Step 6: Final answer
    x = 14,433.74

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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.