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Finding the Fourth Proportional to 2,673.23, 3,689.53 and 1,966.10

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Solution

The fourth proportional to 2,673.23, 3,689.53 and 1,966.10 is: 2,713.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.23 : 3,689.53 = 1,966.10 : x
  2. Step 2: Convert to fraction form
    2,673.23/3,689.53 = 1,966.10/x
  3. Step 3: Cross multiply
    2,673.23x = 3,689.53 × 1,966.10
  4. Step 4: Simplify right side
    2,673.23x = 7,253,984.93
  5. Step 5: Solve for x
    x = 7,253,984.93/2,673.23
  6. Step 6: Final answer
    x = 2,713.57

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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.