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Finding the Fourth Proportional to 2,479.14, 3,719.04 and 836.15

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Solution

The fourth proportional to 2,479.14, 3,719.04 and 836.15 is: 1,254.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.14 : 3,719.04 = 836.15 : x
  2. Step 2: Convert to fraction form
    2,479.14/3,719.04 = 836.15/x
  3. Step 3: Cross multiply
    2,479.14x = 3,719.04 × 836.15
  4. Step 4: Simplify right side
    2,479.14x = 3,109,675.30
  5. Step 5: Solve for x
    x = 3,109,675.30/2,479.14
  6. Step 6: Final answer
    x = 1,254.34

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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.