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Finding the Fourth Proportional to 1,619.80, 2,235.33 and 921.22

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Solution

The fourth proportional to 1,619.80, 2,235.33 and 921.22 is: 1,271.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.80 : 2,235.33 = 921.22 : x
  2. Step 2: Convert to fraction form
    1,619.80/2,235.33 = 921.22/x
  3. Step 3: Cross multiply
    1,619.80x = 2,235.33 × 921.22
  4. Step 4: Simplify right side
    1,619.80x = 2,059,228.57
  5. Step 5: Solve for x
    x = 2,059,228.57/1,619.80
  6. Step 6: Final answer
    x = 1,271.29

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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.