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Finding the Fourth Proportional to 2,146.59, 3,219.62 and 685.76

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Solution

The fourth proportional to 2,146.59, 3,219.62 and 685.76 is: 1,028.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.59 : 3,219.62 = 685.76 : x
  2. Step 2: Convert to fraction form
    2,146.59/3,219.62 = 685.76/x
  3. Step 3: Cross multiply
    2,146.59x = 3,219.62 × 685.76
  4. Step 4: Simplify right side
    2,146.59x = 2,207,867.08
  5. Step 5: Solve for x
    x = 2,207,867.08/2,146.59
  6. Step 6: Final answer
    x = 1,028.55

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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.