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Finding the Fourth Proportional to 7,097.49, 10,640.05 and 2,934.90

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Solution

The fourth proportional to 7,097.49, 10,640.05 and 2,934.90 is: 4,399.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.49 : 10,640.05 = 2,934.90 : x
  2. Step 2: Convert to fraction form
    7,097.49/10,640.05 = 2,934.90/x
  3. Step 3: Cross multiply
    7,097.49x = 10,640.05 × 2,934.90
  4. Step 4: Simplify right side
    7,097.49x = 31,227,475.41
  5. Step 5: Solve for x
    x = 31,227,475.41/7,097.49
  6. Step 6: Final answer
    x = 4,399.79

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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.