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Finding the Fourth Proportional to 19,669.14, 29,508.03 and 7,987.86

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Solution

The fourth proportional to 19,669.14, 29,508.03 and 7,987.86 is: 11,983.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,669.14 : 29,508.03 = 7,987.86 : x
  2. Step 2: Convert to fraction form
    19,669.14/29,508.03 = 7,987.86/x
  3. Step 3: Cross multiply
    19,669.14x = 29,508.03 × 7,987.86
  4. Step 4: Simplify right side
    19,669.14x = 235,706,012.52
  5. Step 5: Solve for x
    x = 235,706,012.52/19,669.14
  6. Step 6: Final answer
    x = 11,983.54

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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.