Home / 1,313.82-1,966.23-1,123.74

Finding the Fourth Proportional to 1,313.82, 1,966.23 and 1,123.74

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Solution

The fourth proportional to 1,313.82, 1,966.23 and 1,123.74 is: 1,681.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.82 : 1,966.23 = 1,123.74 : x
  2. Step 2: Convert to fraction form
    1,313.82/1,966.23 = 1,123.74/x
  3. Step 3: Cross multiply
    1,313.82x = 1,966.23 × 1,123.74
  4. Step 4: Simplify right side
    1,313.82x = 2,209,531.30
  5. Step 5: Solve for x
    x = 2,209,531.30/1,313.82
  6. Step 6: Final answer
    x = 1,681.76

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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.