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Finding the Fourth Proportional to 10,366.47, 15,538.05 and 4,124.78

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Solution

The fourth proportional to 10,366.47, 15,538.05 and 4,124.78 is: 6,182.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.47 : 15,538.05 = 4,124.78 : x
  2. Step 2: Convert to fraction form
    10,366.47/15,538.05 = 4,124.78/x
  3. Step 3: Cross multiply
    10,366.47x = 15,538.05 × 4,124.78
  4. Step 4: Simplify right side
    10,366.47x = 64,090,960.19
  5. Step 5: Solve for x
    x = 64,090,960.19/10,366.47
  6. Step 6: Final answer
    x = 6,182.53

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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.