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Finding the Fourth Proportional to 19,807.80, 29,711.70 and 15,919.80

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Solution

The fourth proportional to 19,807.80, 29,711.70 and 15,919.80 is: 23,879.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,807.80 : 29,711.70 = 15,919.80 : x
  2. Step 2: Convert to fraction form
    19,807.80/29,711.70 = 15,919.80/x
  3. Step 3: Cross multiply
    19,807.80x = 29,711.70 × 15,919.80
  4. Step 4: Simplify right side
    19,807.80x = 473,004,321.66
  5. Step 5: Solve for x
    x = 473,004,321.66/19,807.80
  6. Step 6: Final answer
    x = 23,879.70

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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.