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Finding the Fourth Proportional to 2,640.34, 3,955.65 and 2,348.74

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Solution

The fourth proportional to 2,640.34, 3,955.65 and 2,348.74 is: 3,518.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.34 : 3,955.65 = 2,348.74 : x
  2. Step 2: Convert to fraction form
    2,640.34/3,955.65 = 2,348.74/x
  3. Step 3: Cross multiply
    2,640.34x = 3,955.65 × 2,348.74
  4. Step 4: Simplify right side
    2,640.34x = 9,290,793.38
  5. Step 5: Solve for x
    x = 9,290,793.38/2,640.34
  6. Step 6: Final answer
    x = 3,518.79

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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.