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Finding the Fourth Proportional to 7,880.85, 11,824.86 and 2,950.87

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Solution

The fourth proportional to 7,880.85, 11,824.86 and 2,950.87 is: 4,427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.85 : 11,824.86 = 2,950.87 : x
  2. Step 2: Convert to fraction form
    7,880.85/11,824.86 = 2,950.87/x
  3. Step 3: Cross multiply
    7,880.85x = 11,824.86 × 2,950.87
  4. Step 4: Simplify right side
    7,880.85x = 34,893,624.63
  5. Step 5: Solve for x
    x = 34,893,624.63/7,880.85
  6. Step 6: Final answer
    x = 4,427.65

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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.