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Finding the Fourth Proportional to 2,643.64, 3,960.66 and 1,603.90

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Solution

The fourth proportional to 2,643.64, 3,960.66 and 1,603.90 is: 2,402.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.64 : 3,960.66 = 1,603.90 : x
  2. Step 2: Convert to fraction form
    2,643.64/3,960.66 = 1,603.90/x
  3. Step 3: Cross multiply
    2,643.64x = 3,960.66 × 1,603.90
  4. Step 4: Simplify right side
    2,643.64x = 6,352,513.54
  5. Step 5: Solve for x
    x = 6,352,513.54/2,643.64
  6. Step 6: Final answer
    x = 2,402.94

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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.