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Finding the Fourth Proportional to 31,542.40, 47,310.40 and 10,765.60

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Solution

The fourth proportional to 31,542.40, 47,310.40 and 10,765.60 is: 16,147.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,542.40 : 47,310.40 = 10,765.60 : x
  2. Step 2: Convert to fraction form
    31,542.40/47,310.40 = 10,765.60/x
  3. Step 3: Cross multiply
    31,542.40x = 47,310.40 × 10,765.60
  4. Step 4: Simplify right side
    31,542.40x = 509,324,842.24
  5. Step 5: Solve for x
    x = 509,324,842.24/31,542.40
  6. Step 6: Final answer
    x = 16,147.31

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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.