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Finding the Fourth Proportional to 7,880.54, 11,824.40 and 2,950.56

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Solution

The fourth proportional to 7,880.54, 11,824.40 and 2,950.56 is: 4,427.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.54 : 11,824.40 = 2,950.56 : x
  2. Step 2: Convert to fraction form
    7,880.54/11,824.40 = 2,950.56/x
  3. Step 3: Cross multiply
    7,880.54x = 11,824.40 × 2,950.56
  4. Step 4: Simplify right side
    7,880.54x = 34,888,601.66
  5. Step 5: Solve for x
    x = 34,888,601.66/7,880.54
  6. Step 6: Final answer
    x = 4,427.18

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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.