Home / 1,106.52-1,525.28-826.33

Finding the Fourth Proportional to 1,106.52, 1,525.28 and 826.33

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Solution

The fourth proportional to 1,106.52, 1,525.28 and 826.33 is: 1,139.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.52 : 1,525.28 = 826.33 : x
  2. Step 2: Convert to fraction form
    1,106.52/1,525.28 = 826.33/x
  3. Step 3: Cross multiply
    1,106.52x = 1,525.28 × 826.33
  4. Step 4: Simplify right side
    1,106.52x = 1,260,384.62
  5. Step 5: Solve for x
    x = 1,260,384.62/1,106.52
  6. Step 6: Final answer
    x = 1,139.05

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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.