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Finding the Fourth Proportional to 31,999.70, 47,999.55 and 18,175.70

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Solution

The fourth proportional to 31,999.70, 47,999.55 and 18,175.70 is: 27,263.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,999.70 : 47,999.55 = 18,175.70 : x
  2. Step 2: Convert to fraction form
    31,999.70/47,999.55 = 18,175.70/x
  3. Step 3: Cross multiply
    31,999.70x = 47,999.55 × 18,175.70
  4. Step 4: Simplify right side
    31,999.70x = 872,425,420.94
  5. Step 5: Solve for x
    x = 872,425,420.94/31,999.70
  6. Step 6: Final answer
    x = 27,263.55

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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.