Home / 2,114.34-3,169.20-726.36

Finding the Fourth Proportional to 2,114.34, 3,169.20 and 726.36

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Solution

The fourth proportional to 2,114.34, 3,169.20 and 726.36 is: 1,088.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.34 : 3,169.20 = 726.36 : x
  2. Step 2: Convert to fraction form
    2,114.34/3,169.20 = 726.36/x
  3. Step 3: Cross multiply
    2,114.34x = 3,169.20 × 726.36
  4. Step 4: Simplify right side
    2,114.34x = 2,301,980.11
  5. Step 5: Solve for x
    x = 2,301,980.11/2,114.34
  6. Step 6: Final answer
    x = 1,088.75

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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.