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Finding the Fourth Proportional to 19,423, 29,139.72 and 7,744.42

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Solution

The fourth proportional to 19,423, 29,139.72 and 7,744.42 is: 11,618.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,423 : 29,139.72 = 7,744.42 : x
  2. Step 2: Convert to fraction form
    19,423/29,139.72 = 7,744.42/x
  3. Step 3: Cross multiply
    19,423x = 29,139.72 × 7,744.42
  4. Step 4: Simplify right side
    19,423x = 225,670,230.36
  5. Step 5: Solve for x
    x = 225,670,230.36/19,423
  6. Step 6: Final answer
    x = 11,618.71

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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.