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Finding the Fourth Proportional to 2,643.78, 3,965.64 and 1,104.78

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Solution

The fourth proportional to 2,643.78, 3,965.64 and 1,104.78 is: 1,657.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.78 : 3,965.64 = 1,104.78 : x
  2. Step 2: Convert to fraction form
    2,643.78/3,965.64 = 1,104.78/x
  3. Step 3: Cross multiply
    2,643.78x = 3,965.64 × 1,104.78
  4. Step 4: Simplify right side
    2,643.78x = 4,381,159.76
  5. Step 5: Solve for x
    x = 4,381,159.76/2,643.78
  6. Step 6: Final answer
    x = 1,657.16

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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.