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Finding the Fourth Proportional to 2,132.55, 3,210.05 and 1,945.71

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Solution

The fourth proportional to 2,132.55, 3,210.05 and 1,945.71 is: 2,928.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.55 : 3,210.05 = 1,945.71 : x
  2. Step 2: Convert to fraction form
    2,132.55/3,210.05 = 1,945.71/x
  3. Step 3: Cross multiply
    2,132.55x = 3,210.05 × 1,945.71
  4. Step 4: Simplify right side
    2,132.55x = 6,245,826.39
  5. Step 5: Solve for x
    x = 6,245,826.39/2,132.55
  6. Step 6: Final answer
    x = 2,928.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.