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Finding the Fourth Proportional to 19,911.20, 29,866.80 and 8,064.95

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Solution

The fourth proportional to 19,911.20, 29,866.80 and 8,064.95 is: 12,097.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,911.20 : 29,866.80 = 8,064.95 : x
  2. Step 2: Convert to fraction form
    19,911.20/29,866.80 = 8,064.95/x
  3. Step 3: Cross multiply
    19,911.20x = 29,866.80 × 8,064.95
  4. Step 4: Simplify right side
    19,911.20x = 240,874,248.66
  5. Step 5: Solve for x
    x = 240,874,248.66/19,911.20
  6. Step 6: Final answer
    x = 12,097.43

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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.