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Finding the Fourth Proportional to 19,802.83, 29,704.25 and 8,108.05

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Solution

The fourth proportional to 19,802.83, 29,704.25 and 8,108.05 is: 12,162.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.83 : 29,704.25 = 8,108.05 : x
  2. Step 2: Convert to fraction form
    19,802.83/29,704.25 = 8,108.05/x
  3. Step 3: Cross multiply
    19,802.83x = 29,704.25 × 8,108.05
  4. Step 4: Simplify right side
    19,802.83x = 240,843,544.21
  5. Step 5: Solve for x
    x = 240,843,544.21/19,802.83
  6. Step 6: Final answer
    x = 12,162.08

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1.5x scale

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.