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Finding the Fourth Proportional to 7,754.86, 10,695.98 and 4,919.79

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Solution

The fourth proportional to 7,754.86, 10,695.98 and 4,919.79 is: 6,785.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.86 : 10,695.98 = 4,919.79 : x
  2. Step 2: Convert to fraction form
    7,754.86/10,695.98 = 4,919.79/x
  3. Step 3: Cross multiply
    7,754.86x = 10,695.98 × 4,919.79
  4. Step 4: Simplify right side
    7,754.86x = 52,621,950.85
  5. Step 5: Solve for x
    x = 52,621,950.85/7,754.86
  6. Step 6: Final answer
    x = 6,785.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.