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Finding the Fourth Proportional to 31,994.78, 47,999.17 and 9,809.88

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Solution

The fourth proportional to 31,994.78, 47,999.17 and 9,809.88 is: 14,716.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,994.78 : 47,999.17 = 9,809.88 : x
  2. Step 2: Convert to fraction form
    31,994.78/47,999.17 = 9,809.88/x
  3. Step 3: Cross multiply
    31,994.78x = 47,999.17 × 9,809.88
  4. Step 4: Simplify right side
    31,994.78x = 470,866,253.27
  5. Step 5: Solve for x
    x = 470,866,253.27/31,994.78
  6. Step 6: Final answer
    x = 14,716.97

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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.