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Finding the Fourth Proportional to 31,675.60, 47,513.40 and 8,304.40

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Solution

The fourth proportional to 31,675.60, 47,513.40 and 8,304.40 is: 12,456.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,675.60 : 47,513.40 = 8,304.40 : x
  2. Step 2: Convert to fraction form
    31,675.60/47,513.40 = 8,304.40/x
  3. Step 3: Cross multiply
    31,675.60x = 47,513.40 × 8,304.40
  4. Step 4: Simplify right side
    31,675.60x = 394,570,278.96
  5. Step 5: Solve for x
    x = 394,570,278.96/31,675.60
  6. Step 6: Final answer
    x = 12,456.60

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1.5x scale

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.