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Finding the Fourth Proportional to 31,698.52, 43,731.48 and 20,366.32

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Solution

The fourth proportional to 31,698.52, 43,731.48 and 20,366.32 is: 28,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,698.52 : 43,731.48 = 20,366.32 : x
  2. Step 2: Convert to fraction form
    31,698.52/43,731.48 = 20,366.32/x
  3. Step 3: Cross multiply
    31,698.52x = 43,731.48 × 20,366.32
  4. Step 4: Simplify right side
    31,698.52x = 890,649,315.75
  5. Step 5: Solve for x
    x = 890,649,315.75/31,698.52
  6. Step 6: Final answer
    x = 28,097.50

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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.