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Finding the Fourth Proportional to 19,880, 29,820.02 and 7,399.76

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Solution

The fourth proportional to 19,880, 29,820.02 and 7,399.76 is: 11,099.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,880 : 29,820.02 = 7,399.76 : x
  2. Step 2: Convert to fraction form
    19,880/29,820.02 = 7,399.76/x
  3. Step 3: Cross multiply
    19,880x = 29,820.02 × 7,399.76
  4. Step 4: Simplify right side
    19,880x = 220,660,991.20
  5. Step 5: Solve for x
    x = 220,660,991.20/19,880
  6. Step 6: Final answer
    x = 11,099.65

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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.