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Finding the Fourth Proportional to 3,432, 4,737.78 and 3,308.88

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Solution

The fourth proportional to 3,432, 4,737.78 and 3,308.88 is: 4,567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432 : 4,737.78 = 3,308.88 : x
  2. Step 2: Convert to fraction form
    3,432/4,737.78 = 3,308.88/x
  3. Step 3: Cross multiply
    3,432x = 4,737.78 × 3,308.88
  4. Step 4: Simplify right side
    3,432x = 15,676,745.49
  5. Step 5: Solve for x
    x = 15,676,745.49/3,432
  6. Step 6: Final answer
    x = 4,567.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.