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Finding the Fourth Proportional to 3,279.96, 4,916.16 and 1,330.02

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Solution

The fourth proportional to 3,279.96, 4,916.16 and 1,330.02 is: 1,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.96 : 4,916.16 = 1,330.02 : x
  2. Step 2: Convert to fraction form
    3,279.96/4,916.16 = 1,330.02/x
  3. Step 3: Cross multiply
    3,279.96x = 4,916.16 × 1,330.02
  4. Step 4: Simplify right side
    3,279.96x = 6,538,591.12
  5. Step 5: Solve for x
    x = 6,538,591.12/3,279.96
  6. Step 6: Final answer
    x = 1,993.50

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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.