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Finding the Fourth Proportional to 19,806, 29,715.62 and 6,479.60

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Solution

The fourth proportional to 19,806, 29,715.62 and 6,479.60 is: 9,721.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,806 : 29,715.62 = 6,479.60 : x
  2. Step 2: Convert to fraction form
    19,806/29,715.62 = 6,479.60/x
  3. Step 3: Cross multiply
    19,806x = 29,715.62 × 6,479.60
  4. Step 4: Simplify right side
    19,806x = 192,545,298.95
  5. Step 5: Solve for x
    x = 192,545,298.95/19,806
  6. Step 6: Final answer
    x = 9,721.56

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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.