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Finding the Fourth Proportional to 12,687.75, 19,032.53 and 3,921.53

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Solution

The fourth proportional to 12,687.75, 19,032.53 and 3,921.53 is: 5,882.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,687.75 : 19,032.53 = 3,921.53 : x
  2. Step 2: Convert to fraction form
    12,687.75/19,032.53 = 3,921.53/x
  3. Step 3: Cross multiply
    12,687.75x = 19,032.53 × 3,921.53
  4. Step 4: Simplify right side
    12,687.75x = 74,636,522.60
  5. Step 5: Solve for x
    x = 74,636,522.60/12,687.75
  6. Step 6: Final answer
    x = 5,882.57

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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.