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Finding the Fourth Proportional to 1,971.71, 2,720.07 and 1,132.21

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Solution

The fourth proportional to 1,971.71, 2,720.07 and 1,132.21 is: 1,561.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.71 : 2,720.07 = 1,132.21 : x
  2. Step 2: Convert to fraction form
    1,971.71/2,720.07 = 1,132.21/x
  3. Step 3: Cross multiply
    1,971.71x = 2,720.07 × 1,132.21
  4. Step 4: Simplify right side
    1,971.71x = 3,079,687.90
  5. Step 5: Solve for x
    x = 3,079,687.90/1,971.71
  6. Step 6: Final answer
    x = 1,561.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.