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Finding the Fourth Proportional to 32,920.75, 49,381.71 and 10,734.04

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Solution

The fourth proportional to 32,920.75, 49,381.71 and 10,734.04 is: 16,101.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,920.75 : 49,381.71 = 10,734.04 : x
  2. Step 2: Convert to fraction form
    32,920.75/49,381.71 = 10,734.04/x
  3. Step 3: Cross multiply
    32,920.75x = 49,381.71 × 10,734.04
  4. Step 4: Simplify right side
    32,920.75x = 530,065,250.41
  5. Step 5: Solve for x
    x = 530,065,250.41/32,920.75
  6. Step 6: Final answer
    x = 16,101.25

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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.