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Finding the Fourth Proportional to 31,408.80, 47,113.20 and 28,039.20

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Solution

The fourth proportional to 31,408.80, 47,113.20 and 28,039.20 is: 42,058.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,408.80 : 47,113.20 = 28,039.20 : x
  2. Step 2: Convert to fraction form
    31,408.80/47,113.20 = 28,039.20/x
  3. Step 3: Cross multiply
    31,408.80x = 47,113.20 × 28,039.20
  4. Step 4: Simplify right side
    31,408.80x = 1,321,016,437.44
  5. Step 5: Solve for x
    x = 1,321,016,437.44/31,408.80
  6. Step 6: Final answer
    x = 42,058.80

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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.