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Finding the Fourth Proportional to 19,987.21, 29,978.08 and 5,949.41

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Solution

The fourth proportional to 19,987.21, 29,978.08 and 5,949.41 is: 8,923.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,987.21 : 29,978.08 = 5,949.41 : x
  2. Step 2: Convert to fraction form
    19,987.21/29,978.08 = 5,949.41/x
  3. Step 3: Cross multiply
    19,987.21x = 29,978.08 × 5,949.41
  4. Step 4: Simplify right side
    19,987.21x = 178,351,746.48
  5. Step 5: Solve for x
    x = 178,351,746.48/19,987.21
  6. Step 6: Final answer
    x = 8,923.29

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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.