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Finding the Fourth Proportional to 31,779, 43,853.51 and 17,438.49

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Solution

The fourth proportional to 31,779, 43,853.51 and 17,438.49 is: 24,064.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,779 : 43,853.51 = 17,438.49 : x
  2. Step 2: Convert to fraction form
    31,779/43,853.51 = 17,438.49/x
  3. Step 3: Cross multiply
    31,779x = 43,853.51 × 17,438.49
  4. Step 4: Simplify right side
    31,779x = 764,739,039.20
  5. Step 5: Solve for x
    x = 764,739,039.20/31,779
  6. Step 6: Final answer
    x = 24,064.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.