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Finding the Fourth Proportional to 19,908.30, 29,866.05 and 10,022.70

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Solution

The fourth proportional to 19,908.30, 29,866.05 and 10,022.70 is: 15,035.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,908.30 : 29,866.05 = 10,022.70 : x
  2. Step 2: Convert to fraction form
    19,908.30/29,866.05 = 10,022.70/x
  3. Step 3: Cross multiply
    19,908.30x = 29,866.05 × 10,022.70
  4. Step 4: Simplify right side
    19,908.30x = 299,338,459.34
  5. Step 5: Solve for x
    x = 299,338,459.34/19,908.30
  6. Step 6: Final answer
    x = 15,035.86

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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.