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Finding the Fourth Proportional to 31,760.80, 47,641.20 and 10,986.40

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Solution

The fourth proportional to 31,760.80, 47,641.20 and 10,986.40 is: 16,479.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,760.80 : 47,641.20 = 10,986.40 : x
  2. Step 2: Convert to fraction form
    31,760.80/47,641.20 = 10,986.40/x
  3. Step 3: Cross multiply
    31,760.80x = 47,641.20 × 10,986.40
  4. Step 4: Simplify right side
    31,760.80x = 523,405,279.68
  5. Step 5: Solve for x
    x = 523,405,279.68/31,760.80
  6. Step 6: Final answer
    x = 16,479.60

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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.