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Finding the Fourth Proportional to 57,882.40, 86,828.40 and 18,438.40

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Solution

The fourth proportional to 57,882.40, 86,828.40 and 18,438.40 is: 27,659.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,882.40 : 86,828.40 = 18,438.40 : x
  2. Step 2: Convert to fraction form
    57,882.40/86,828.40 = 18,438.40/x
  3. Step 3: Cross multiply
    57,882.40x = 86,828.40 × 18,438.40
  4. Step 4: Simplify right side
    57,882.40x = 1,600,976,770.56
  5. Step 5: Solve for x
    x = 1,600,976,770.56/57,882.40
  6. Step 6: Final answer
    x = 27,659.13

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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.