Home / 1,524.93-2,104.40-826.30

Finding the Fourth Proportional to 1,524.93, 2,104.40 and 826.30

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Solution

The fourth proportional to 1,524.93, 2,104.40 and 826.30 is: 1,140.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.93 : 2,104.40 = 826.30 : x
  2. Step 2: Convert to fraction form
    1,524.93/2,104.40 = 826.30/x
  3. Step 3: Cross multiply
    1,524.93x = 2,104.40 × 826.30
  4. Step 4: Simplify right side
    1,524.93x = 1,738,866.85
  5. Step 5: Solve for x
    x = 1,738,866.85/1,524.93
  6. Step 6: Final answer
    x = 1,140.29

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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.