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Finding the Fourth Proportional to 1,260.14, 1,892.03 and 1,123.65

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Solution

The fourth proportional to 1,260.14, 1,892.03 and 1,123.65 is: 1,687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.14 : 1,892.03 = 1,123.65 : x
  2. Step 2: Convert to fraction form
    1,260.14/1,892.03 = 1,123.65/x
  3. Step 3: Cross multiply
    1,260.14x = 1,892.03 × 1,123.65
  4. Step 4: Simplify right side
    1,260.14x = 2,125,973.89
  5. Step 5: Solve for x
    x = 2,125,973.89/1,260.14
  6. Step 6: Final answer
    x = 1,687.10

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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.