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Finding the Fourth Proportional to 10,292.48, 15,438.72 and 5,093.12

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Solution

The fourth proportional to 10,292.48, 15,438.72 and 5,093.12 is: 7,639.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.48 : 15,438.72 = 5,093.12 : x
  2. Step 2: Convert to fraction form
    10,292.48/15,438.72 = 5,093.12/x
  3. Step 3: Cross multiply
    10,292.48x = 15,438.72 × 5,093.12
  4. Step 4: Simplify right side
    10,292.48x = 78,631,253.61
  5. Step 5: Solve for x
    x = 78,631,253.61/10,292.48
  6. Step 6: Final answer
    x = 7,639.68

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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.