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Finding the Fourth Proportional to 3,250.76, 4,878.52 and 2,419.70

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Solution

The fourth proportional to 3,250.76, 4,878.52 and 2,419.70 is: 3,631.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,250.76 : 4,878.52 = 2,419.70 : x
  2. Step 2: Convert to fraction form
    3,250.76/4,878.52 = 2,419.70/x
  3. Step 3: Cross multiply
    3,250.76x = 4,878.52 × 2,419.70
  4. Step 4: Simplify right side
    3,250.76x = 11,804,524.40
  5. Step 5: Solve for x
    x = 11,804,524.40/3,250.76
  6. Step 6: Final answer
    x = 3,631.32

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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.