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Finding the Fourth Proportional to 18,494.91, 27,742.56 and 5,347.40

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Solution

The fourth proportional to 18,494.91, 27,742.56 and 5,347.40 is: 8,021.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,494.91 : 27,742.56 = 5,347.40 : x
  2. Step 2: Convert to fraction form
    18,494.91/27,742.56 = 5,347.40/x
  3. Step 3: Cross multiply
    18,494.91x = 27,742.56 × 5,347.40
  4. Step 4: Simplify right side
    18,494.91x = 148,350,426.63
  5. Step 5: Solve for x
    x = 148,350,426.63/18,494.91
  6. Step 6: Final answer
    x = 8,021.15

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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.