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Finding the Fourth Proportional to 3,291, 4,914.80 and 2,928.12

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Solution

The fourth proportional to 3,291, 4,914.80 and 2,928.12 is: 4,372.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291 : 4,914.80 = 2,928.12 : x
  2. Step 2: Convert to fraction form
    3,291/4,914.80 = 2,928.12/x
  3. Step 3: Cross multiply
    3,291x = 4,914.80 × 2,928.12
  4. Step 4: Simplify right side
    3,291x = 14,391,124.18
  5. Step 5: Solve for x
    x = 14,391,124.18/3,291
  6. Step 6: Final answer
    x = 4,372.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.