Home / 1,885.14-2,827.71-517.14

Finding the Fourth Proportional to 1,885.14, 2,827.71 and 517.14

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Solution

The fourth proportional to 1,885.14, 2,827.71 and 517.14 is: 775.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.14 : 2,827.71 = 517.14 : x
  2. Step 2: Convert to fraction form
    1,885.14/2,827.71 = 517.14/x
  3. Step 3: Cross multiply
    1,885.14x = 2,827.71 × 517.14
  4. Step 4: Simplify right side
    1,885.14x = 1,462,321.95
  5. Step 5: Solve for x
    x = 1,462,321.95/1,885.14
  6. Step 6: Final answer
    x = 775.71

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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.