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Finding the Fourth Proportional to 31,999.20, 47,977.20 and 17,008.80

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Solution

The fourth proportional to 31,999.20, 47,977.20 and 17,008.80 is: 25,501.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,999.20 : 47,977.20 = 17,008.80 : x
  2. Step 2: Convert to fraction form
    31,999.20/47,977.20 = 17,008.80/x
  3. Step 3: Cross multiply
    31,999.20x = 47,977.20 × 17,008.80
  4. Step 4: Simplify right side
    31,999.20x = 816,034,599.36
  5. Step 5: Solve for x
    x = 816,034,599.36/31,999.20
  6. Step 6: Final answer
    x = 25,501.72

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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.