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Finding the Fourth Proportional to 19,882.80, 29,824.02 and 4,889.82

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Solution

The fourth proportional to 19,882.80, 29,824.02 and 4,889.82 is: 7,334.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882.80 : 29,824.02 = 4,889.82 : x
  2. Step 2: Convert to fraction form
    19,882.80/29,824.02 = 4,889.82/x
  3. Step 3: Cross multiply
    19,882.80x = 29,824.02 × 4,889.82
  4. Step 4: Simplify right side
    19,882.80x = 145,834,089.48
  5. Step 5: Solve for x
    x = 145,834,089.48/19,882.80
  6. Step 6: Final answer
    x = 7,334.69

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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.