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Finding the Fourth Proportional to 1,272.14, 1,908.20 and 836.15

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Solution

The fourth proportional to 1,272.14, 1,908.20 and 836.15 is: 1,254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.14 : 1,908.20 = 836.15 : x
  2. Step 2: Convert to fraction form
    1,272.14/1,908.20 = 836.15/x
  3. Step 3: Cross multiply
    1,272.14x = 1,908.20 × 836.15
  4. Step 4: Simplify right side
    1,272.14x = 1,595,527.71
  5. Step 5: Solve for x
    x = 1,595,527.71/1,272.14
  6. Step 6: Final answer
    x = 1,254.21

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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.