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Finding the Fourth Proportional to 2,479.66, 3,720.04 and 836.12

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Solution

The fourth proportional to 2,479.66, 3,720.04 and 836.12 is: 1,254.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.66 : 3,720.04 = 836.12 : x
  2. Step 2: Convert to fraction form
    2,479.66/3,720.04 = 836.12/x
  3. Step 3: Cross multiply
    2,479.66x = 3,720.04 × 836.12
  4. Step 4: Simplify right side
    2,479.66x = 3,110,407.05
  5. Step 5: Solve for x
    x = 3,110,407.05/2,479.66
  6. Step 6: Final answer
    x = 1,254.37

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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.