Home / 2,092.16-3,138.47-921.66

Finding the Fourth Proportional to 2,092.16, 3,138.47 and 921.66

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Solution

The fourth proportional to 2,092.16, 3,138.47 and 921.66 is: 1,382.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.16 : 3,138.47 = 921.66 : x
  2. Step 2: Convert to fraction form
    2,092.16/3,138.47 = 921.66/x
  3. Step 3: Cross multiply
    2,092.16x = 3,138.47 × 921.66
  4. Step 4: Simplify right side
    2,092.16x = 2,892,602.26
  5. Step 5: Solve for x
    x = 2,892,602.26/2,092.16
  6. Step 6: Final answer
    x = 1,382.59

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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.