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Finding the Fourth Proportional to 31,859.40, 47,723.40 and 18,671.80

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Solution

The fourth proportional to 31,859.40, 47,723.40 and 18,671.80 is: 27,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,859.40 : 47,723.40 = 18,671.80 : x
  2. Step 2: Convert to fraction form
    31,859.40/47,723.40 = 18,671.80/x
  3. Step 3: Cross multiply
    31,859.40x = 47,723.40 × 18,671.80
  4. Step 4: Simplify right side
    31,859.40x = 891,081,780.12
  5. Step 5: Solve for x
    x = 891,081,780.12/31,859.40
  6. Step 6: Final answer
    x = 27,969.20

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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.