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Finding the Fourth Proportional to 19,866, 29,798.91 and 15,486.69

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Solution

The fourth proportional to 19,866, 29,798.91 and 15,486.69 is: 23,229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,866 : 29,798.91 = 15,486.69 : x
  2. Step 2: Convert to fraction form
    19,866/29,798.91 = 15,486.69/x
  3. Step 3: Cross multiply
    19,866x = 29,798.91 × 15,486.69
  4. Step 4: Simplify right side
    19,866x = 461,486,481.51
  5. Step 5: Solve for x
    x = 461,486,481.51/19,866
  6. Step 6: Final answer
    x = 23,229.96

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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.