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Finding the Fourth Proportional to 19,881.01, 29,802.08 and 8,202.61

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Solution

The fourth proportional to 19,881.01, 29,802.08 and 8,202.61 is: 12,295.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,881.01 : 29,802.08 = 8,202.61 : x
  2. Step 2: Convert to fraction form
    19,881.01/29,802.08 = 8,202.61/x
  3. Step 3: Cross multiply
    19,881.01x = 29,802.08 × 8,202.61
  4. Step 4: Simplify right side
    19,881.01x = 244,454,798.42
  5. Step 5: Solve for x
    x = 244,454,798.42/19,881.01
  6. Step 6: Final answer
    x = 12,295.89

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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.