Home / 1,202.43-1,805.01-1,123.15

Finding the Fourth Proportional to 1,202.43, 1,805.01 and 1,123.15

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Solution

The fourth proportional to 1,202.43, 1,805.01 and 1,123.15 is: 1,686.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.43 : 1,805.01 = 1,123.15 : x
  2. Step 2: Convert to fraction form
    1,202.43/1,805.01 = 1,123.15/x
  3. Step 3: Cross multiply
    1,202.43x = 1,805.01 × 1,123.15
  4. Step 4: Simplify right side
    1,202.43x = 2,027,296.98
  5. Step 5: Solve for x
    x = 2,027,296.98/1,202.43
  6. Step 6: Final answer
    x = 1,686.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.