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Finding the Fourth Proportional to 3,250.98, 4,876.47 and 943.02

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Solution

The fourth proportional to 3,250.98, 4,876.47 and 943.02 is: 1,414.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,250.98 : 4,876.47 = 943.02 : x
  2. Step 2: Convert to fraction form
    3,250.98/4,876.47 = 943.02/x
  3. Step 3: Cross multiply
    3,250.98x = 4,876.47 × 943.02
  4. Step 4: Simplify right side
    3,250.98x = 4,598,608.74
  5. Step 5: Solve for x
    x = 4,598,608.74/3,250.98
  6. Step 6: Final answer
    x = 1,414.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.