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Finding the Fourth Proportional to 1,882.04, 2,824.30 and 842.60

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Solution

The fourth proportional to 1,882.04, 2,824.30 and 842.60 is: 1,264.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.04 : 2,824.30 = 842.60 : x
  2. Step 2: Convert to fraction form
    1,882.04/2,824.30 = 842.60/x
  3. Step 3: Cross multiply
    1,882.04x = 2,824.30 × 842.60
  4. Step 4: Simplify right side
    1,882.04x = 2,379,755.18
  5. Step 5: Solve for x
    x = 2,379,755.18/1,882.04
  6. Step 6: Final answer
    x = 1,264.46

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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.