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Finding the Fourth Proportional to 2,643.97, 3,963.08 and 1,720.18

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Solution

The fourth proportional to 2,643.97, 3,963.08 and 1,720.18 is: 2,578.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.97 : 3,963.08 = 1,720.18 : x
  2. Step 2: Convert to fraction form
    2,643.97/3,963.08 = 1,720.18/x
  3. Step 3: Cross multiply
    2,643.97x = 3,963.08 × 1,720.18
  4. Step 4: Simplify right side
    2,643.97x = 6,817,210.95
  5. Step 5: Solve for x
    x = 6,817,210.95/2,643.97
  6. Step 6: Final answer
    x = 2,578.40

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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.