Home / 31,584.43-47,323.10-19,078.17

Finding the Fourth Proportional to 31,584.43, 47,323.10 and 19,078.17

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Solution

The fourth proportional to 31,584.43, 47,323.10 and 19,078.17 is: 28,584.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,584.43 : 47,323.10 = 19,078.17 : x
  2. Step 2: Convert to fraction form
    31,584.43/47,323.10 = 19,078.17/x
  3. Step 3: Cross multiply
    31,584.43x = 47,323.10 × 19,078.17
  4. Step 4: Simplify right side
    31,584.43x = 902,838,146.73
  5. Step 5: Solve for x
    x = 902,838,146.73/31,584.43
  6. Step 6: Final answer
    x = 28,584.91

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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.