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Finding the Fourth Proportional to 1,691.49, 2,333.02 and 1,123.68

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Solution

The fourth proportional to 1,691.49, 2,333.02 and 1,123.68 is: 1,549.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.49 : 2,333.02 = 1,123.68 : x
  2. Step 2: Convert to fraction form
    1,691.49/2,333.02 = 1,123.68/x
  3. Step 3: Cross multiply
    1,691.49x = 2,333.02 × 1,123.68
  4. Step 4: Simplify right side
    1,691.49x = 2,621,567.91
  5. Step 5: Solve for x
    x = 2,621,567.91/1,691.49
  6. Step 6: Final answer
    x = 1,549.86

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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.