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Finding the Fourth Proportional to 25,605.86, 38,408.79 and 8,077.05

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Solution

The fourth proportional to 25,605.86, 38,408.79 and 8,077.05 is: 12,115.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,605.86 : 38,408.79 = 8,077.05 : x
  2. Step 2: Convert to fraction form
    25,605.86/38,408.79 = 8,077.05/x
  3. Step 3: Cross multiply
    25,605.86x = 38,408.79 × 8,077.05
  4. Step 4: Simplify right side
    25,605.86x = 310,229,717.27
  5. Step 5: Solve for x
    x = 310,229,717.27/25,605.86
  6. Step 6: Final answer
    x = 12,115.58

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1.5x scale

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.