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Finding the Fourth Proportional to 31,413.71, 47,113.25 and 9,221.12

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Solution

The fourth proportional to 31,413.71, 47,113.25 and 9,221.12 is: 13,829.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,413.71 : 47,113.25 = 9,221.12 : x
  2. Step 2: Convert to fraction form
    31,413.71/47,113.25 = 9,221.12/x
  3. Step 3: Cross multiply
    31,413.71x = 47,113.25 × 9,221.12
  4. Step 4: Simplify right side
    31,413.71x = 434,436,650.17
  5. Step 5: Solve for x
    x = 434,436,650.17/31,413.71
  6. Step 6: Final answer
    x = 13,829.53

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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.