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Finding the Fourth Proportional to 12,158.01, 18,205.38 and 10,414.20

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Solution

The fourth proportional to 12,158.01, 18,205.38 and 10,414.20 is: 15,594.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,158.01 : 18,205.38 = 10,414.20 : x
  2. Step 2: Convert to fraction form
    12,158.01/18,205.38 = 10,414.20/x
  3. Step 3: Cross multiply
    12,158.01x = 18,205.38 × 10,414.20
  4. Step 4: Simplify right side
    12,158.01x = 189,594,468.40
  5. Step 5: Solve for x
    x = 189,594,468.40/12,158.01
  6. Step 6: Final answer
    x = 15,594.20

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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.