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Finding the Fourth Proportional to 15,082.78, 22,623.15 and 3,989.22

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Solution

The fourth proportional to 15,082.78, 22,623.15 and 3,989.22 is: 5,983.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,082.78 : 22,623.15 = 3,989.22 : x
  2. Step 2: Convert to fraction form
    15,082.78/22,623.15 = 3,989.22/x
  3. Step 3: Cross multiply
    15,082.78x = 22,623.15 × 3,989.22
  4. Step 4: Simplify right side
    15,082.78x = 90,248,722.44
  5. Step 5: Solve for x
    x = 90,248,722.44/15,082.78
  6. Step 6: Final answer
    x = 5,983.56

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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.