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Finding the Fourth Proportional to 31,720.60, 47,577.10 and 8,348.88

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Solution

The fourth proportional to 31,720.60, 47,577.10 and 8,348.88 is: 12,522.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,720.60 : 47,577.10 = 8,348.88 : x
  2. Step 2: Convert to fraction form
    31,720.60/47,577.10 = 8,348.88/x
  3. Step 3: Cross multiply
    31,720.60x = 47,577.10 × 8,348.88
  4. Step 4: Simplify right side
    31,720.60x = 397,215,498.65
  5. Step 5: Solve for x
    x = 397,215,498.65/31,720.60
  6. Step 6: Final answer
    x = 12,522.32

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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.