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Finding the Fourth Proportional to 18,031.40, 27,047.10 and 5,719.40

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Solution

The fourth proportional to 18,031.40, 27,047.10 and 5,719.40 is: 8,579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,031.40 : 27,047.10 = 5,719.40 : x
  2. Step 2: Convert to fraction form
    18,031.40/27,047.10 = 5,719.40/x
  3. Step 3: Cross multiply
    18,031.40x = 27,047.10 × 5,719.40
  4. Step 4: Simplify right side
    18,031.40x = 154,693,183.74
  5. Step 5: Solve for x
    x = 154,693,183.74/18,031.40
  6. Step 6: Final answer
    x = 8,579.10

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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.