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Finding the Fourth Proportional to 4,151, 6,225.84 and 1,685.20

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Solution

The fourth proportional to 4,151, 6,225.84 and 1,685.20 is: 2,527.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151 : 6,225.84 = 1,685.20 : x
  2. Step 2: Convert to fraction form
    4,151/6,225.84 = 1,685.20/x
  3. Step 3: Cross multiply
    4,151x = 6,225.84 × 1,685.20
  4. Step 4: Simplify right side
    4,151x = 10,491,785.57
  5. Step 5: Solve for x
    x = 10,491,785.57/4,151
  6. Step 6: Final answer
    x = 2,527.53

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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.