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Finding the Fourth Proportional to 2,643.74, 3,640.23 and 2,348.50

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Solution

The fourth proportional to 2,643.74, 3,640.23 and 2,348.50 is: 3,233.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.74 : 3,640.23 = 2,348.50 : x
  2. Step 2: Convert to fraction form
    2,643.74/3,640.23 = 2,348.50/x
  3. Step 3: Cross multiply
    2,643.74x = 3,640.23 × 2,348.50
  4. Step 4: Simplify right side
    2,643.74x = 8,549,080.16
  5. Step 5: Solve for x
    x = 8,549,080.16/2,643.74
  6. Step 6: Final answer
    x = 3,233.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.