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Finding the Fourth Proportional to 2,934.70, 4,391.53 and 2,739.17

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Solution

The fourth proportional to 2,934.70, 4,391.53 and 2,739.17 is: 4,098.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.70 : 4,391.53 = 2,739.17 : x
  2. Step 2: Convert to fraction form
    2,934.70/4,391.53 = 2,739.17/x
  3. Step 3: Cross multiply
    2,934.70x = 4,391.53 × 2,739.17
  4. Step 4: Simplify right side
    2,934.70x = 12,029,147.23
  5. Step 5: Solve for x
    x = 12,029,147.23/2,934.70
  6. Step 6: Final answer
    x = 4,098.94

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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.