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Finding the Fourth Proportional to 31,591.78, 47,386.17 and 7,899.48

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Solution

The fourth proportional to 31,591.78, 47,386.17 and 7,899.48 is: 11,848.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,591.78 : 47,386.17 = 7,899.48 : x
  2. Step 2: Convert to fraction form
    31,591.78/47,386.17 = 7,899.48/x
  3. Step 3: Cross multiply
    31,591.78x = 47,386.17 × 7,899.48
  4. Step 4: Simplify right side
    31,591.78x = 374,326,102.19
  5. Step 5: Solve for x
    x = 374,326,102.19/31,591.78
  6. Step 6: Final answer
    x = 11,848.85

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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.