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Finding the Fourth Proportional to 2,195.96, 3,292.61 and 860.16

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Solution

The fourth proportional to 2,195.96, 3,292.61 and 860.16 is: 1,289.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.96 : 3,292.61 = 860.16 : x
  2. Step 2: Convert to fraction form
    2,195.96/3,292.61 = 860.16/x
  3. Step 3: Cross multiply
    2,195.96x = 3,292.61 × 860.16
  4. Step 4: Simplify right side
    2,195.96x = 2,832,160.94
  5. Step 5: Solve for x
    x = 2,832,160.94/2,195.96
  6. Step 6: Final answer
    x = 1,289.72

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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.