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Finding the Fourth Proportional to 19,912.17, 29,863.80 and 5,869.20

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Solution

The fourth proportional to 19,912.17, 29,863.80 and 5,869.20 is: 8,802.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,912.17 : 29,863.80 = 5,869.20 : x
  2. Step 2: Convert to fraction form
    19,912.17/29,863.80 = 5,869.20/x
  3. Step 3: Cross multiply
    19,912.17x = 29,863.80 × 5,869.20
  4. Step 4: Simplify right side
    19,912.17x = 175,276,614.96
  5. Step 5: Solve for x
    x = 175,276,614.96/19,912.17
  6. Step 6: Final answer
    x = 8,802.49

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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.