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Finding the Fourth Proportional to 9,277.78, 13,920.19 and 5,582.56

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Solution

The fourth proportional to 9,277.78, 13,920.19 and 5,582.56 is: 8,375.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.78 : 13,920.19 = 5,582.56 : x
  2. Step 2: Convert to fraction form
    9,277.78/13,920.19 = 5,582.56/x
  3. Step 3: Cross multiply
    9,277.78x = 13,920.19 × 5,582.56
  4. Step 4: Simplify right side
    9,277.78x = 77,710,212.33
  5. Step 5: Solve for x
    x = 77,710,212.33/9,277.78
  6. Step 6: Final answer
    x = 8,375.95

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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.