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Finding the Fourth Proportional to 1,106.38, 1,525.08 and 826.21

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Solution

The fourth proportional to 1,106.38, 1,525.08 and 826.21 is: 1,138.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.38 : 1,525.08 = 826.21 : x
  2. Step 2: Convert to fraction form
    1,106.38/1,525.08 = 826.21/x
  3. Step 3: Cross multiply
    1,106.38x = 1,525.08 × 826.21
  4. Step 4: Simplify right side
    1,106.38x = 1,260,036.35
  5. Step 5: Solve for x
    x = 1,260,036.35/1,106.38
  6. Step 6: Final answer
    x = 1,138.88

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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.