Home / 1,142.36-1,574.16-826.61

Finding the Fourth Proportional to 1,142.36, 1,574.16 and 826.61

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Solution

The fourth proportional to 1,142.36, 1,574.16 and 826.61 is: 1,139.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.36 : 1,574.16 = 826.61 : x
  2. Step 2: Convert to fraction form
    1,142.36/1,574.16 = 826.61/x
  3. Step 3: Cross multiply
    1,142.36x = 1,574.16 × 826.61
  4. Step 4: Simplify right side
    1,142.36x = 1,301,216.40
  5. Step 5: Solve for x
    x = 1,301,216.40/1,142.36
  6. Step 6: Final answer
    x = 1,139.06

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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.