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Finding the Fourth Proportional to 19,965, 29,942.40 and 5,921.76

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Solution

The fourth proportional to 19,965, 29,942.40 and 5,921.76 is: 8,881.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,965 : 29,942.40 = 5,921.76 : x
  2. Step 2: Convert to fraction form
    19,965/29,942.40 = 5,921.76/x
  3. Step 3: Cross multiply
    19,965x = 29,942.40 × 5,921.76
  4. Step 4: Simplify right side
    19,965x = 177,311,706.62
  5. Step 5: Solve for x
    x = 177,311,706.62/19,965
  6. Step 6: Final answer
    x = 8,881.13

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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.