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Finding the Fourth Proportional to 1,349.70, 1,864.92 and 1,116.42

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Solution

The fourth proportional to 1,349.70, 1,864.92 and 1,116.42 is: 1,542.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.70 : 1,864.92 = 1,116.42 : x
  2. Step 2: Convert to fraction form
    1,349.70/1,864.92 = 1,116.42/x
  3. Step 3: Cross multiply
    1,349.70x = 1,864.92 × 1,116.42
  4. Step 4: Simplify right side
    1,349.70x = 2,082,033.99
  5. Step 5: Solve for x
    x = 2,082,033.99/1,349.70
  6. Step 6: Final answer
    x = 1,542.59

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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.