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Finding the Fourth Proportional to 19,177.68, 28,770.78 and 7,491

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Solution

The fourth proportional to 19,177.68, 28,770.78 and 7,491 is: 11,238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,177.68 : 28,770.78 = 7,491 : x
  2. Step 2: Convert to fraction form
    19,177.68/28,770.78 = 7,491/x
  3. Step 3: Cross multiply
    19,177.68x = 28,770.78 × 7,491
  4. Step 4: Simplify right side
    19,177.68x = 215,521,912.98
  5. Step 5: Solve for x
    x = 215,521,912.98/19,177.68
  6. Step 6: Final answer
    x = 11,238.16

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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.