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Finding the Fourth Proportional to 7,876.80, 11,811.10 and 3,715.69

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Solution

The fourth proportional to 7,876.80, 11,811.10 and 3,715.69 is: 5,571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.80 : 11,811.10 = 3,715.69 : x
  2. Step 2: Convert to fraction form
    7,876.80/11,811.10 = 3,715.69/x
  3. Step 3: Cross multiply
    7,876.80x = 11,811.10 × 3,715.69
  4. Step 4: Simplify right side
    7,876.80x = 43,886,347.34
  5. Step 5: Solve for x
    x = 43,886,347.34/7,876.80
  6. Step 6: Final answer
    x = 5,571.60

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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.