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Finding the Fourth Proportional to 20,493.78, 30,752.68 and 8,646.86

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Solution

The fourth proportional to 20,493.78, 30,752.68 and 8,646.86 is: 12,975.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,493.78 : 30,752.68 = 8,646.86 : x
  2. Step 2: Convert to fraction form
    20,493.78/30,752.68 = 8,646.86/x
  3. Step 3: Cross multiply
    20,493.78x = 30,752.68 × 8,646.86
  4. Step 4: Simplify right side
    20,493.78x = 265,914,118.58
  5. Step 5: Solve for x
    x = 265,914,118.58/20,493.78
  6. Step 6: Final answer
    x = 12,975.36

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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.