Home / 3,134.51-4,701.29-826.19

Finding the Fourth Proportional to 3,134.51, 4,701.29 and 826.19

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Solution

The fourth proportional to 3,134.51, 4,701.29 and 826.19 is: 1,239.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.51 : 4,701.29 = 826.19 : x
  2. Step 2: Convert to fraction form
    3,134.51/4,701.29 = 826.19/x
  3. Step 3: Cross multiply
    3,134.51x = 4,701.29 × 826.19
  4. Step 4: Simplify right side
    3,134.51x = 3,884,154.65
  5. Step 5: Solve for x
    x = 3,884,154.65/3,134.51
  6. Step 6: Final answer
    x = 1,239.16

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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.