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Finding the Fourth Proportional to 19,989.84, 29,985.30 and 5,198.44

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Solution

The fourth proportional to 19,989.84, 29,985.30 and 5,198.44 is: 7,797.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,989.84 : 29,985.30 = 5,198.44 : x
  2. Step 2: Convert to fraction form
    19,989.84/29,985.30 = 5,198.44/x
  3. Step 3: Cross multiply
    19,989.84x = 29,985.30 × 5,198.44
  4. Step 4: Simplify right side
    19,989.84x = 155,876,782.93
  5. Step 5: Solve for x
    x = 155,876,782.93/19,989.84
  6. Step 6: Final answer
    x = 7,797.80

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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.