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Finding the Fourth Proportional to 19,802, 29,703 and 5,210

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Solution

The fourth proportional to 19,802, 29,703 and 5,210 is: 7,815

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802 : 29,703 = 5,210 : x
  2. Step 2: Convert to fraction form
    19,802/29,703 = 5,210/x
  3. Step 3: Cross multiply
    19,802x = 29,703 × 5,210
  4. Step 4: Simplify right side
    19,802x = 154,752,630
  5. Step 5: Solve for x
    x = 154,752,630/19,802
  6. Step 6: Final answer
    x = 7,815

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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.