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Finding the Fourth Proportional to 2,618.35, 3,927.79 and 862.64

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Solution

The fourth proportional to 2,618.35, 3,927.79 and 862.64 is: 1,294.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.35 : 3,927.79 = 862.64 : x
  2. Step 2: Convert to fraction form
    2,618.35/3,927.79 = 862.64/x
  3. Step 3: Cross multiply
    2,618.35x = 3,927.79 × 862.64
  4. Step 4: Simplify right side
    2,618.35x = 3,388,268.77
  5. Step 5: Solve for x
    x = 3,388,268.77/2,618.35
  6. Step 6: Final answer
    x = 1,294.05

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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.