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Finding the Fourth Proportional to 19,991.28, 29,978.28 and 6,137.04

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Solution

The fourth proportional to 19,991.28, 29,978.28 and 6,137.04 is: 9,202.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,991.28 : 29,978.28 = 6,137.04 : x
  2. Step 2: Convert to fraction form
    19,991.28/29,978.28 = 6,137.04/x
  3. Step 3: Cross multiply
    19,991.28x = 29,978.28 × 6,137.04
  4. Step 4: Simplify right side
    19,991.28x = 183,977,903.49
  5. Step 5: Solve for x
    x = 183,977,903.49/19,991.28
  6. Step 6: Final answer
    x = 9,202.91

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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.