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Finding the Fourth Proportional to 7,781.69, 10,738.37 and 4,797.81

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Solution

The fourth proportional to 7,781.69, 10,738.37 and 4,797.81 is: 6,620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.69 : 10,738.37 = 4,797.81 : x
  2. Step 2: Convert to fraction form
    7,781.69/10,738.37 = 4,797.81/x
  3. Step 3: Cross multiply
    7,781.69x = 10,738.37 × 4,797.81
  4. Step 4: Simplify right side
    7,781.69x = 51,520,670.96
  5. Step 5: Solve for x
    x = 51,520,670.96/7,781.69
  6. Step 6: Final answer
    x = 6,620.75

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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.