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Finding the Fourth Proportional to 2,759.60, 3,805.62 and 1,816.04

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Solution

The fourth proportional to 2,759.60, 3,805.62 and 1,816.04 is: 2,504.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.60 : 3,805.62 = 1,816.04 : x
  2. Step 2: Convert to fraction form
    2,759.60/3,805.62 = 1,816.04/x
  3. Step 3: Cross multiply
    2,759.60x = 3,805.62 × 1,816.04
  4. Step 4: Simplify right side
    2,759.60x = 6,911,158.14
  5. Step 5: Solve for x
    x = 6,911,158.14/2,759.60
  6. Step 6: Final answer
    x = 2,504.41

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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.