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Finding the Fourth Proportional to 1,654.83, 2,491.86 and 1,195.74

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Solution

The fourth proportional to 1,654.83, 2,491.86 and 1,195.74 is: 1,800.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.83 : 2,491.86 = 1,195.74 : x
  2. Step 2: Convert to fraction form
    1,654.83/2,491.86 = 1,195.74/x
  3. Step 3: Cross multiply
    1,654.83x = 2,491.86 × 1,195.74
  4. Step 4: Simplify right side
    1,654.83x = 2,979,616.68
  5. Step 5: Solve for x
    x = 2,979,616.68/1,654.83
  6. Step 6: Final answer
    x = 1,800.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.