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Finding the Fourth Proportional to 25,758, 38,631.53 and 20,855.48

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Solution

The fourth proportional to 25,758, 38,631.53 and 20,855.48 is: 31,278.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,758 : 38,631.53 = 20,855.48 : x
  2. Step 2: Convert to fraction form
    25,758/38,631.53 = 20,855.48/x
  3. Step 3: Cross multiply
    25,758x = 38,631.53 × 20,855.48
  4. Step 4: Simplify right side
    25,758x = 805,678,960.27
  5. Step 5: Solve for x
    x = 805,678,960.27/25,758
  6. Step 6: Final answer
    x = 31,278.79

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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.