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Finding the Fourth Proportional to 12,616.58, 18,892.05 and 6,744.49

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Solution

The fourth proportional to 12,616.58, 18,892.05 and 6,744.49 is: 10,099.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616.58 : 18,892.05 = 6,744.49 : x
  2. Step 2: Convert to fraction form
    12,616.58/18,892.05 = 6,744.49/x
  3. Step 3: Cross multiply
    12,616.58x = 18,892.05 × 6,744.49
  4. Step 4: Simplify right side
    12,616.58x = 127,417,242.30
  5. Step 5: Solve for x
    x = 127,417,242.30/12,616.58
  6. Step 6: Final answer
    x = 10,099.19

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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.