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Finding the Fourth Proportional to 31,395.73, 47,082 and 10,329.64

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Solution

The fourth proportional to 31,395.73, 47,082 and 10,329.64 is: 15,490.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,395.73 : 47,082 = 10,329.64 : x
  2. Step 2: Convert to fraction form
    31,395.73/47,082 = 10,329.64/x
  3. Step 3: Cross multiply
    31,395.73x = 47,082 × 10,329.64
  4. Step 4: Simplify right side
    31,395.73x = 486,340,110.48
  5. Step 5: Solve for x
    x = 486,340,110.48/31,395.73
  6. Step 6: Final answer
    x = 15,490.65

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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.