Home / 1,525.51-2,105.19-826.87

Finding the Fourth Proportional to 1,525.51, 2,105.19 and 826.87

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Solution

The fourth proportional to 1,525.51, 2,105.19 and 826.87 is: 1,141.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.51 : 2,105.19 = 826.87 : x
  2. Step 2: Convert to fraction form
    1,525.51/2,105.19 = 826.87/x
  3. Step 3: Cross multiply
    1,525.51x = 2,105.19 × 826.87
  4. Step 4: Simplify right side
    1,525.51x = 1,740,714.32
  5. Step 5: Solve for x
    x = 1,740,714.32/1,525.51
  6. Step 6: Final answer
    x = 1,141.07

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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.