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Finding the Fourth Proportional to 12,616.62, 18,933.02 and 8,461.32

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Solution

The fourth proportional to 12,616.62, 18,933.02 and 8,461.32 is: 12,697.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616.62 : 18,933.02 = 8,461.32 : x
  2. Step 2: Convert to fraction form
    12,616.62/18,933.02 = 8,461.32/x
  3. Step 3: Cross multiply
    12,616.62x = 18,933.02 × 8,461.32
  4. Step 4: Simplify right side
    12,616.62x = 160,198,340.79
  5. Step 5: Solve for x
    x = 160,198,340.79/12,616.62
  6. Step 6: Final answer
    x = 12,697.41

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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.