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Finding the Fourth Proportional to 2,402.73, 3,603.53 and 921.43

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Solution

The fourth proportional to 2,402.73, 3,603.53 and 921.43 is: 1,381.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.73 : 3,603.53 = 921.43 : x
  2. Step 2: Convert to fraction form
    2,402.73/3,603.53 = 921.43/x
  3. Step 3: Cross multiply
    2,402.73x = 3,603.53 × 921.43
  4. Step 4: Simplify right side
    2,402.73x = 3,320,400.65
  5. Step 5: Solve for x
    x = 3,320,400.65/2,402.73
  6. Step 6: Final answer
    x = 1,381.93

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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.