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Finding the Fourth Proportional to 32,939, 49,408.74 and 8,315

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Solution

The fourth proportional to 32,939, 49,408.74 and 8,315 is: 12,472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,939 : 49,408.74 = 8,315 : x
  2. Step 2: Convert to fraction form
    32,939/49,408.74 = 8,315/x
  3. Step 3: Cross multiply
    32,939x = 49,408.74 × 8,315
  4. Step 4: Simplify right side
    32,939x = 410,833,673.10
  5. Step 5: Solve for x
    x = 410,833,673.10/32,939
  6. Step 6: Final answer
    x = 12,472.56

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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.