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Finding the Fourth Proportional to 3,294.60, 4,938.70 and 2,949

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Solution

The fourth proportional to 3,294.60, 4,938.70 and 2,949 is: 4,420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.60 : 4,938.70 = 2,949 : x
  2. Step 2: Convert to fraction form
    3,294.60/4,938.70 = 2,949/x
  3. Step 3: Cross multiply
    3,294.60x = 4,938.70 × 2,949
  4. Step 4: Simplify right side
    3,294.60x = 14,564,226.30
  5. Step 5: Solve for x
    x = 14,564,226.30/3,294.60
  6. Step 6: Final answer
    x = 4,420.64

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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.