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Finding the Fourth Proportional to 31,514.40, 47,174.40 and 28,015.20

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Solution

The fourth proportional to 31,514.40, 47,174.40 and 28,015.20 is: 41,936.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,514.40 : 47,174.40 = 28,015.20 : x
  2. Step 2: Convert to fraction form
    31,514.40/47,174.40 = 28,015.20/x
  3. Step 3: Cross multiply
    31,514.40x = 47,174.40 × 28,015.20
  4. Step 4: Simplify right side
    31,514.40x = 1,321,600,250.88
  5. Step 5: Solve for x
    x = 1,321,600,250.88/31,514.40
  6. Step 6: Final answer
    x = 41,936.39

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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.