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Finding the Fourth Proportional to 12,058, 18,082.56 and 4,158.40

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Solution

The fourth proportional to 12,058, 18,082.56 and 4,158.40 is: 6,236.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,058 : 18,082.56 = 4,158.40 : x
  2. Step 2: Convert to fraction form
    12,058/18,082.56 = 4,158.40/x
  3. Step 3: Cross multiply
    12,058x = 18,082.56 × 4,158.40
  4. Step 4: Simplify right side
    12,058x = 75,194,517.50
  5. Step 5: Solve for x
    x = 75,194,517.50/12,058
  6. Step 6: Final answer
    x = 6,236.07

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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.