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Finding the Fourth Proportional to 31,969.78, 47,961.59 and 12,248.32

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Solution

The fourth proportional to 31,969.78, 47,961.59 and 12,248.32 is: 18,375.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,969.78 : 47,961.59 = 12,248.32 : x
  2. Step 2: Convert to fraction form
    31,969.78/47,961.59 = 12,248.32/x
  3. Step 3: Cross multiply
    31,969.78x = 47,961.59 × 12,248.32
  4. Step 4: Simplify right side
    31,969.78x = 587,448,902.03
  5. Step 5: Solve for x
    x = 587,448,902.03/31,969.78
  6. Step 6: Final answer
    x = 18,375.13

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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.