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Finding the Fourth Proportional to 1,578.01, 2,174.01 and 1,135.14

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Solution

The fourth proportional to 1,578.01, 2,174.01 and 1,135.14 is: 1,563.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.01 : 2,174.01 = 1,135.14 : x
  2. Step 2: Convert to fraction form
    1,578.01/2,174.01 = 1,135.14/x
  3. Step 3: Cross multiply
    1,578.01x = 2,174.01 × 1,135.14
  4. Step 4: Simplify right side
    1,578.01x = 2,467,805.71
  5. Step 5: Solve for x
    x = 2,467,805.71/1,578.01
  6. Step 6: Final answer
    x = 1,563.87

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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.