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Finding the Fourth Proportional to 7,782.62, 10,740 and 4,245.82

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Solution

The fourth proportional to 7,782.62, 10,740 and 4,245.82 is: 5,859.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.62 : 10,740 = 4,245.82 : x
  2. Step 2: Convert to fraction form
    7,782.62/10,740 = 4,245.82/x
  3. Step 3: Cross multiply
    7,782.62x = 10,740 × 4,245.82
  4. Step 4: Simplify right side
    7,782.62x = 45,600,106.80
  5. Step 5: Solve for x
    x = 45,600,106.80/7,782.62
  6. Step 6: Final answer
    x = 5,859.22

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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.