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Finding the Fourth Proportional to 2,097.74, 2,891.76 and 1,351.55

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Solution

The fourth proportional to 2,097.74, 2,891.76 and 1,351.55 is: 1,863.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.74 : 2,891.76 = 1,351.55 : x
  2. Step 2: Convert to fraction form
    2,097.74/2,891.76 = 1,351.55/x
  3. Step 3: Cross multiply
    2,097.74x = 2,891.76 × 1,351.55
  4. Step 4: Simplify right side
    2,097.74x = 3,908,358.23
  5. Step 5: Solve for x
    x = 3,908,358.23/2,097.74
  6. Step 6: Final answer
    x = 1,863.13

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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.