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Finding the Fourth Proportional to 25,778.04, 38,663.46 and 8,249.40

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Solution

The fourth proportional to 25,778.04, 38,663.46 and 8,249.40 is: 12,372.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,778.04 : 38,663.46 = 8,249.40 : x
  2. Step 2: Convert to fraction form
    25,778.04/38,663.46 = 8,249.40/x
  3. Step 3: Cross multiply
    25,778.04x = 38,663.46 × 8,249.40
  4. Step 4: Simplify right side
    25,778.04x = 318,950,346.92
  5. Step 5: Solve for x
    x = 318,950,346.92/25,778.04
  6. Step 6: Final answer
    x = 12,372.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.