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Finding the Fourth Proportional to 25,800.68, 38,707.68 and 8,270.66

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Solution

The fourth proportional to 25,800.68, 38,707.68 and 8,270.66 is: 12,408.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,800.68 : 38,707.68 = 8,270.66 : x
  2. Step 2: Convert to fraction form
    25,800.68/38,707.68 = 8,270.66/x
  3. Step 3: Cross multiply
    25,800.68x = 38,707.68 × 8,270.66
  4. Step 4: Simplify right side
    25,800.68x = 320,138,060.67
  5. Step 5: Solve for x
    x = 320,138,060.67/25,800.68
  6. Step 6: Final answer
    x = 12,408.12

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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.