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Finding the Fourth Proportional to 19,978.05, 29,947.09 and 10,087.41

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Solution

The fourth proportional to 19,978.05, 29,947.09 and 10,087.41 is: 15,121.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.05 : 29,947.09 = 10,087.41 : x
  2. Step 2: Convert to fraction form
    19,978.05/29,947.09 = 10,087.41/x
  3. Step 3: Cross multiply
    19,978.05x = 29,947.09 × 10,087.41
  4. Step 4: Simplify right side
    19,978.05x = 302,088,575.14
  5. Step 5: Solve for x
    x = 302,088,575.14/19,978.05
  6. Step 6: Final answer
    x = 15,121.02

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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.