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Finding the Fourth Proportional to 6,559.79, 9,839.64 and 2,811.02

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Solution

The fourth proportional to 6,559.79, 9,839.64 and 2,811.02 is: 4,216.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.79 : 9,839.64 = 2,811.02 : x
  2. Step 2: Convert to fraction form
    6,559.79/9,839.64 = 2,811.02/x
  3. Step 3: Cross multiply
    6,559.79x = 9,839.64 × 2,811.02
  4. Step 4: Simplify right side
    6,559.79x = 27,659,424.83
  5. Step 5: Solve for x
    x = 27,659,424.83/6,559.79
  6. Step 6: Final answer
    x = 4,216.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.