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Finding the Fourth Proportional to 31,361.40, 47,042.10 and 10,584.60

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Solution

The fourth proportional to 31,361.40, 47,042.10 and 10,584.60 is: 15,876.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,361.40 : 47,042.10 = 10,584.60 : x
  2. Step 2: Convert to fraction form
    31,361.40/47,042.10 = 10,584.60/x
  3. Step 3: Cross multiply
    31,361.40x = 47,042.10 × 10,584.60
  4. Step 4: Simplify right side
    31,361.40x = 497,921,811.66
  5. Step 5: Solve for x
    x = 497,921,811.66/31,361.40
  6. Step 6: Final answer
    x = 15,876.90

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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.