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Finding the Fourth Proportional to 25,978.56, 38,982.39 and 10,397.40

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Solution

The fourth proportional to 25,978.56, 38,982.39 and 10,397.40 is: 15,601.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,978.56 : 38,982.39 = 10,397.40 : x
  2. Step 2: Convert to fraction form
    25,978.56/38,982.39 = 10,397.40/x
  3. Step 3: Cross multiply
    25,978.56x = 38,982.39 × 10,397.40
  4. Step 4: Simplify right side
    25,978.56x = 405,315,501.79
  5. Step 5: Solve for x
    x = 405,315,501.79/25,978.56
  6. Step 6: Final answer
    x = 15,601.92

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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.