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Finding the Fourth Proportional to 20,493.32, 30,739.88 and 6,454.54

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Solution

The fourth proportional to 20,493.32, 30,739.88 and 6,454.54 is: 9,681.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,493.32 : 30,739.88 = 6,454.54 : x
  2. Step 2: Convert to fraction form
    20,493.32/30,739.88 = 6,454.54/x
  3. Step 3: Cross multiply
    20,493.32x = 30,739.88 × 6,454.54
  4. Step 4: Simplify right side
    20,493.32x = 198,411,785.06
  5. Step 5: Solve for x
    x = 198,411,785.06/20,493.32
  6. Step 6: Final answer
    x = 9,681.78

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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.