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Finding the Fourth Proportional to 7,744.77, 10,687.68 and 4,208.00

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Solution

The fourth proportional to 7,744.77, 10,687.68 and 4,208.00 is: 5,806.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.77 : 10,687.68 = 4,208.00 : x
  2. Step 2: Convert to fraction form
    7,744.77/10,687.68 = 4,208.00/x
  3. Step 3: Cross multiply
    7,744.77x = 10,687.68 × 4,208.00
  4. Step 4: Simplify right side
    7,744.77x = 44,973,704.00
  5. Step 5: Solve for x
    x = 44,973,704.00/7,744.77
  6. Step 6: Final answer
    x = 5,806.98

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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.