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Finding the Fourth Proportional to 31,648.60, 47,475.61 and 8,275

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Solution

The fourth proportional to 31,648.60, 47,475.61 and 8,275 is: 12,413.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,648.60 : 47,475.61 = 8,275 : x
  2. Step 2: Convert to fraction form
    31,648.60/47,475.61 = 8,275/x
  3. Step 3: Cross multiply
    31,648.60x = 47,475.61 × 8,275
  4. Step 4: Simplify right side
    31,648.60x = 392,860,672.75
  5. Step 5: Solve for x
    x = 392,860,672.75/31,648.60
  6. Step 6: Final answer
    x = 12,413.21

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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.