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Finding the Fourth Proportional to 2,685.71, 4,029 and 836.45

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Solution

The fourth proportional to 2,685.71, 4,029 and 836.45 is: 1,254.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.71 : 4,029 = 836.45 : x
  2. Step 2: Convert to fraction form
    2,685.71/4,029 = 836.45/x
  3. Step 3: Cross multiply
    2,685.71x = 4,029 × 836.45
  4. Step 4: Simplify right side
    2,685.71x = 3,370,057.05
  5. Step 5: Solve for x
    x = 3,370,057.05/2,685.71
  6. Step 6: Final answer
    x = 1,254.81

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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.