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Finding the Fourth Proportional to 1,866.21, 2,796.17 and 890.16

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Solution

The fourth proportional to 1,866.21, 2,796.17 and 890.16 is: 1,333.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.21 : 2,796.17 = 890.16 : x
  2. Step 2: Convert to fraction form
    1,866.21/2,796.17 = 890.16/x
  3. Step 3: Cross multiply
    1,866.21x = 2,796.17 × 890.16
  4. Step 4: Simplify right side
    1,866.21x = 2,489,034.24
  5. Step 5: Solve for x
    x = 2,489,034.24/1,866.21
  6. Step 6: Final answer
    x = 1,333.74

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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.