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Finding the Fourth Proportional to 2,145.26, 3,217.04 and 912.71

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Solution

The fourth proportional to 2,145.26, 3,217.04 and 912.71 is: 1,368.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.26 : 3,217.04 = 912.71 : x
  2. Step 2: Convert to fraction form
    2,145.26/3,217.04 = 912.71/x
  3. Step 3: Cross multiply
    2,145.26x = 3,217.04 × 912.71
  4. Step 4: Simplify right side
    2,145.26x = 2,936,203.93
  5. Step 5: Solve for x
    x = 2,936,203.93/2,145.26
  6. Step 6: Final answer
    x = 1,368.70

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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.