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Finding the Fourth Proportional to 12,814.75, 19,223.75 and 3,580.75

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Solution

The fourth proportional to 12,814.75, 19,223.75 and 3,580.75 is: 5,371.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.75 : 19,223.75 = 3,580.75 : x
  2. Step 2: Convert to fraction form
    12,814.75/19,223.75 = 3,580.75/x
  3. Step 3: Cross multiply
    12,814.75x = 19,223.75 × 3,580.75
  4. Step 4: Simplify right side
    12,814.75x = 68,835,442.81
  5. Step 5: Solve for x
    x = 68,835,442.81/12,814.75
  6. Step 6: Final answer
    x = 5,371.58

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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.