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Finding the Fourth Proportional to 1,840.69, 2,761.02 and 866.26

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Solution

The fourth proportional to 1,840.69, 2,761.02 and 866.26 is: 1,299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.69 : 2,761.02 = 866.26 : x
  2. Step 2: Convert to fraction form
    1,840.69/2,761.02 = 866.26/x
  3. Step 3: Cross multiply
    1,840.69x = 2,761.02 × 866.26
  4. Step 4: Simplify right side
    1,840.69x = 2,391,761.19
  5. Step 5: Solve for x
    x = 2,391,761.19/1,840.69
  6. Step 6: Final answer
    x = 1,299.38

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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.