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Finding the Fourth Proportional to 1,665.11, 2,297.84 and 1,001.99

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Solution

The fourth proportional to 1,665.11, 2,297.84 and 1,001.99 is: 1,382.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.11 : 2,297.84 = 1,001.99 : x
  2. Step 2: Convert to fraction form
    1,665.11/2,297.84 = 1,001.99/x
  3. Step 3: Cross multiply
    1,665.11x = 2,297.84 × 1,001.99
  4. Step 4: Simplify right side
    1,665.11x = 2,302,420.95
  5. Step 5: Solve for x
    x = 2,302,420.95/1,665.11
  6. Step 6: Final answer
    x = 1,382.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.