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Finding the Fourth Proportional to 1,335.57, 1,995.78 and 1,092.30

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Solution

The fourth proportional to 1,335.57, 1,995.78 and 1,092.30 is: 1,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.57 : 1,995.78 = 1,092.30 : x
  2. Step 2: Convert to fraction form
    1,335.57/1,995.78 = 1,092.30/x
  3. Step 3: Cross multiply
    1,335.57x = 1,995.78 × 1,092.30
  4. Step 4: Simplify right side
    1,335.57x = 2,179,990.49
  5. Step 5: Solve for x
    x = 2,179,990.49/1,335.57
  6. Step 6: Final answer
    x = 1,632.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.