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Finding the Fourth Proportional to 7,782.71, 10,739.99 and 4,245.91

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Solution

The fourth proportional to 7,782.71, 10,739.99 and 4,245.91 is: 5,859.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.71 : 10,739.99 = 4,245.91 : x
  2. Step 2: Convert to fraction form
    7,782.71/10,739.99 = 4,245.91/x
  3. Step 3: Cross multiply
    7,782.71x = 10,739.99 × 4,245.91
  4. Step 4: Simplify right side
    7,782.71x = 45,601,014.71
  5. Step 5: Solve for x
    x = 45,601,014.71/7,782.71
  6. Step 6: Final answer
    x = 5,859.28

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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.