Home / 1,029.36-1,547.39-826.16

Finding the Fourth Proportional to 1,029.36, 1,547.39 and 826.16

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Solution

The fourth proportional to 1,029.36, 1,547.39 and 826.16 is: 1,241.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.36 : 1,547.39 = 826.16 : x
  2. Step 2: Convert to fraction form
    1,029.36/1,547.39 = 826.16/x
  3. Step 3: Cross multiply
    1,029.36x = 1,547.39 × 826.16
  4. Step 4: Simplify right side
    1,029.36x = 1,278,391.72
  5. Step 5: Solve for x
    x = 1,278,391.72/1,029.36
  6. Step 6: Final answer
    x = 1,241.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.