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Finding the Fourth Proportional to 7,894.95, 11,822.19 and 7,661.37

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Solution

The fourth proportional to 7,894.95, 11,822.19 and 7,661.37 is: 11,472.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.95 : 11,822.19 = 7,661.37 : x
  2. Step 2: Convert to fraction form
    7,894.95/11,822.19 = 7,661.37/x
  3. Step 3: Cross multiply
    7,894.95x = 11,822.19 × 7,661.37
  4. Step 4: Simplify right side
    7,894.95x = 90,574,171.80
  5. Step 5: Solve for x
    x = 90,574,171.80/7,894.95
  6. Step 6: Final answer
    x = 11,472.42

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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.