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Finding the Fourth Proportional to 13,442.68, 20,161.30 and 8,442.82

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Solution

The fourth proportional to 13,442.68, 20,161.30 and 8,442.82 is: 12,662.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.68 : 20,161.30 = 8,442.82 : x
  2. Step 2: Convert to fraction form
    13,442.68/20,161.30 = 8,442.82/x
  3. Step 3: Cross multiply
    13,442.68x = 20,161.30 × 8,442.82
  4. Step 4: Simplify right side
    13,442.68x = 170,218,226.87
  5. Step 5: Solve for x
    x = 170,218,226.87/13,442.68
  6. Step 6: Final answer
    x = 12,662.52

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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.