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Finding the Fourth Proportional to 1,402.93, 2,102.65 and 1,229.93

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Solution

The fourth proportional to 1,402.93, 2,102.65 and 1,229.93 is: 1,843.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.93 : 2,102.65 = 1,229.93 : x
  2. Step 2: Convert to fraction form
    1,402.93/2,102.65 = 1,229.93/x
  3. Step 3: Cross multiply
    1,402.93x = 2,102.65 × 1,229.93
  4. Step 4: Simplify right side
    1,402.93x = 2,586,112.31
  5. Step 5: Solve for x
    x = 2,586,112.31/1,402.93
  6. Step 6: Final answer
    x = 1,843.37

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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.