Home / 1,121.31-1,545.41-826.07

Finding the Fourth Proportional to 1,121.31, 1,545.41 and 826.07

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Solution

The fourth proportional to 1,121.31, 1,545.41 and 826.07 is: 1,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.31 : 1,545.41 = 826.07 : x
  2. Step 2: Convert to fraction form
    1,121.31/1,545.41 = 826.07/x
  3. Step 3: Cross multiply
    1,121.31x = 1,545.41 × 826.07
  4. Step 4: Simplify right side
    1,121.31x = 1,276,611.18
  5. Step 5: Solve for x
    x = 1,276,611.18/1,121.31
  6. Step 6: Final answer
    x = 1,138.50

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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.