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Finding the Fourth Proportional to 31,907.52, 47,828.88 and 20,198.16

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Solution

The fourth proportional to 31,907.52, 47,828.88 and 20,198.16 is: 30,276.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,907.52 : 47,828.88 = 20,198.16 : x
  2. Step 2: Convert to fraction form
    31,907.52/47,828.88 = 20,198.16/x
  3. Step 3: Cross multiply
    31,907.52x = 47,828.88 × 20,198.16
  4. Step 4: Simplify right side
    31,907.52x = 966,055,370.86
  5. Step 5: Solve for x
    x = 966,055,370.86/31,907.52
  6. Step 6: Final answer
    x = 30,276.73

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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.