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Finding the Fourth Proportional to 31,622.88, 47,434.16 and 8,248.80

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Solution

The fourth proportional to 31,622.88, 47,434.16 and 8,248.80 is: 12,373.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,622.88 : 47,434.16 = 8,248.80 : x
  2. Step 2: Convert to fraction form
    31,622.88/47,434.16 = 8,248.80/x
  3. Step 3: Cross multiply
    31,622.88x = 47,434.16 × 8,248.80
  4. Step 4: Simplify right side
    31,622.88x = 391,274,899.01
  5. Step 5: Solve for x
    x = 391,274,899.01/31,622.88
  6. Step 6: Final answer
    x = 12,373.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.