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Finding the Fourth Proportional to 1,251.69, 1,866.18 and 1,219.23

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Solution

The fourth proportional to 1,251.69, 1,866.18 and 1,219.23 is: 1,817.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.69 : 1,866.18 = 1,219.23 : x
  2. Step 2: Convert to fraction form
    1,251.69/1,866.18 = 1,219.23/x
  3. Step 3: Cross multiply
    1,251.69x = 1,866.18 × 1,219.23
  4. Step 4: Simplify right side
    1,251.69x = 2,275,302.64
  5. Step 5: Solve for x
    x = 2,275,302.64/1,251.69
  6. Step 6: Final answer
    x = 1,817.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.