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Finding the Fourth Proportional to 7,715.77, 11,574.19 and 3,819.13

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Solution

The fourth proportional to 7,715.77, 11,574.19 and 3,819.13 is: 5,728.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.77 : 11,574.19 = 3,819.13 : x
  2. Step 2: Convert to fraction form
    7,715.77/11,574.19 = 3,819.13/x
  3. Step 3: Cross multiply
    7,715.77x = 11,574.19 × 3,819.13
  4. Step 4: Simplify right side
    7,715.77x = 44,203,336.25
  5. Step 5: Solve for x
    x = 44,203,336.25/7,715.77
  6. Step 6: Final answer
    x = 5,728.96

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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.