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Finding the Fourth Proportional to 2,855.62, 4,275.78 and 2,691.84

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Solution

The fourth proportional to 2,855.62, 4,275.78 and 2,691.84 is: 4,030.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.62 : 4,275.78 = 2,691.84 : x
  2. Step 2: Convert to fraction form
    2,855.62/4,275.78 = 2,691.84/x
  3. Step 3: Cross multiply
    2,855.62x = 4,275.78 × 2,691.84
  4. Step 4: Simplify right side
    2,855.62x = 11,509,715.64
  5. Step 5: Solve for x
    x = 11,509,715.64/2,855.62
  6. Step 6: Final answer
    x = 4,030.55

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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.