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Finding the Fourth Proportional to 31,894.20, 47,819.70 and 16,903.80

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Solution

The fourth proportional to 31,894.20, 47,819.70 and 16,903.80 is: 25,344.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,894.20 : 47,819.70 = 16,903.80 : x
  2. Step 2: Convert to fraction form
    31,894.20/47,819.70 = 16,903.80/x
  3. Step 3: Cross multiply
    31,894.20x = 47,819.70 × 16,903.80
  4. Step 4: Simplify right side
    31,894.20x = 808,334,644.86
  5. Step 5: Solve for x
    x = 808,334,644.86/31,894.20
  6. Step 6: Final answer
    x = 25,344.25

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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.