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Finding the Fourth Proportional to 1,821.93, 2,732.49 and 711.38

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Solution

The fourth proportional to 1,821.93, 2,732.49 and 711.38 is: 1,066.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.93 : 2,732.49 = 711.38 : x
  2. Step 2: Convert to fraction form
    1,821.93/2,732.49 = 711.38/x
  3. Step 3: Cross multiply
    1,821.93x = 2,732.49 × 711.38
  4. Step 4: Simplify right side
    1,821.93x = 1,943,825.07
  5. Step 5: Solve for x
    x = 1,943,825.07/1,821.93
  6. Step 6: Final answer
    x = 1,066.90

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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.