Home / 3,286-4,535.45-2,167.14

Finding the Fourth Proportional to 3,286, 4,535.45 and 2,167.14

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Solution

The fourth proportional to 3,286, 4,535.45 and 2,167.14 is: 2,991.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286 : 4,535.45 = 2,167.14 : x
  2. Step 2: Convert to fraction form
    3,286/4,535.45 = 2,167.14/x
  3. Step 3: Cross multiply
    3,286x = 4,535.45 × 2,167.14
  4. Step 4: Simplify right side
    3,286x = 9,828,955.11
  5. Step 5: Solve for x
    x = 9,828,955.11/3,286
  6. Step 6: Final answer
    x = 2,991.16

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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.