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Finding the Fourth Proportional to 1,866.42, 2,575.49 and 1,069.83

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Solution

The fourth proportional to 1,866.42, 2,575.49 and 1,069.83 is: 1,476.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.42 : 2,575.49 = 1,069.83 : x
  2. Step 2: Convert to fraction form
    1,866.42/2,575.49 = 1,069.83/x
  3. Step 3: Cross multiply
    1,866.42x = 2,575.49 × 1,069.83
  4. Step 4: Simplify right side
    1,866.42x = 2,755,331.12
  5. Step 5: Solve for x
    x = 2,755,331.12/1,866.42
  6. Step 6: Final answer
    x = 1,476.27

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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.