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Finding the Fourth Proportional to 31,358.46, 47,049.93 and 13,815.93

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Solution

The fourth proportional to 31,358.46, 47,049.93 and 13,815.93 is: 20,729.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,358.46 : 47,049.93 = 13,815.93 : x
  2. Step 2: Convert to fraction form
    31,358.46/47,049.93 = 13,815.93/x
  3. Step 3: Cross multiply
    31,358.46x = 47,049.93 × 13,815.93
  4. Step 4: Simplify right side
    31,358.46x = 650,038,539.38
  5. Step 5: Solve for x
    x = 650,038,539.38/31,358.46
  6. Step 6: Final answer
    x = 20,729.29

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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.