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Finding the Fourth Proportional to 2,146.48, 3,219.71 and 685.74

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Solution

The fourth proportional to 2,146.48, 3,219.71 and 685.74 is: 1,028.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.48 : 3,219.71 = 685.74 : x
  2. Step 2: Convert to fraction form
    2,146.48/3,219.71 = 685.74/x
  3. Step 3: Cross multiply
    2,146.48x = 3,219.71 × 685.74
  4. Step 4: Simplify right side
    2,146.48x = 2,207,885.65
  5. Step 5: Solve for x
    x = 2,207,885.65/2,146.48
  6. Step 6: Final answer
    x = 1,028.61

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1.5x scale

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.