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Finding the Fourth Proportional to 12,679.75, 19,006.53 and 5,288.50

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Solution

The fourth proportional to 12,679.75, 19,006.53 and 5,288.50 is: 7,927.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,679.75 : 19,006.53 = 5,288.50 : x
  2. Step 2: Convert to fraction form
    12,679.75/19,006.53 = 5,288.50/x
  3. Step 3: Cross multiply
    12,679.75x = 19,006.53 × 5,288.50
  4. Step 4: Simplify right side
    12,679.75x = 100,516,033.91
  5. Step 5: Solve for x
    x = 100,516,033.91/12,679.75
  6. Step 6: Final answer
    x = 7,927.29

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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.