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Finding the Fourth Proportional to 31,766.75, 47,648.75 and 10,705.40

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Solution

The fourth proportional to 31,766.75, 47,648.75 and 10,705.40 is: 16,057.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,766.75 : 47,648.75 = 10,705.40 : x
  2. Step 2: Convert to fraction form
    31,766.75/47,648.75 = 10,705.40/x
  3. Step 3: Cross multiply
    31,766.75x = 47,648.75 × 10,705.40
  4. Step 4: Simplify right side
    31,766.75x = 510,098,928.25
  5. Step 5: Solve for x
    x = 510,098,928.25/31,766.75
  6. Step 6: Final answer
    x = 16,057.64

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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.