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Finding the Fourth Proportional to 3,097.97, 4,275.17 and 1,681.66

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Solution

The fourth proportional to 3,097.97, 4,275.17 and 1,681.66 is: 2,320.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.97 : 4,275.17 = 1,681.66 : x
  2. Step 2: Convert to fraction form
    3,097.97/4,275.17 = 1,681.66/x
  3. Step 3: Cross multiply
    3,097.97x = 4,275.17 × 1,681.66
  4. Step 4: Simplify right side
    3,097.97x = 7,189,375.90
  5. Step 5: Solve for x
    x = 7,189,375.90/3,097.97
  6. Step 6: Final answer
    x = 2,320.67

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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.