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Finding the Fourth Proportional to 10,542, 15,812.78 and 3,146.48

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Solution

The fourth proportional to 10,542, 15,812.78 and 3,146.48 is: 4,719.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542 : 15,812.78 = 3,146.48 : x
  2. Step 2: Convert to fraction form
    10,542/15,812.78 = 3,146.48/x
  3. Step 3: Cross multiply
    10,542x = 15,812.78 × 3,146.48
  4. Step 4: Simplify right side
    10,542x = 49,754,596.01
  5. Step 5: Solve for x
    x = 49,754,596.01/10,542
  6. Step 6: Final answer
    x = 4,719.65

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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.