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Finding the Fourth Proportional to 19,439.98, 29,172.84 and 10,681

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Solution

The fourth proportional to 19,439.98, 29,172.84 and 10,681 is: 16,028.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,439.98 : 29,172.84 = 10,681 : x
  2. Step 2: Convert to fraction form
    19,439.98/29,172.84 = 10,681/x
  3. Step 3: Cross multiply
    19,439.98x = 29,172.84 × 10,681
  4. Step 4: Simplify right side
    19,439.98x = 311,595,104.04
  5. Step 5: Solve for x
    x = 311,595,104.04/19,439.98
  6. Step 6: Final answer
    x = 16,028.57

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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.