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Finding the Fourth Proportional to 12,165.68, 18,248.94 and 10,422.46

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Solution

The fourth proportional to 12,165.68, 18,248.94 and 10,422.46 is: 15,634.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.68 : 18,248.94 = 10,422.46 : x
  2. Step 2: Convert to fraction form
    12,165.68/18,248.94 = 10,422.46/x
  3. Step 3: Cross multiply
    12,165.68x = 18,248.94 × 10,422.46
  4. Step 4: Simplify right side
    12,165.68x = 190,198,847.19
  5. Step 5: Solve for x
    x = 190,198,847.19/12,165.68
  6. Step 6: Final answer
    x = 15,634.05

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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.