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Finding the Fourth Proportional to 2,146.18, 3,219.04 and 685.08

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Solution

The fourth proportional to 2,146.18, 3,219.04 and 685.08 is: 1,027.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.18 : 3,219.04 = 685.08 : x
  2. Step 2: Convert to fraction form
    2,146.18/3,219.04 = 685.08/x
  3. Step 3: Cross multiply
    2,146.18x = 3,219.04 × 685.08
  4. Step 4: Simplify right side
    2,146.18x = 2,205,299.92
  5. Step 5: Solve for x
    x = 2,205,299.92/2,146.18
  6. Step 6: Final answer
    x = 1,027.55

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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.