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Finding the Fourth Proportional to 7,777.71, 11,672.64 and 3,398.22

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Solution

The fourth proportional to 7,777.71, 11,672.64 and 3,398.22 is: 5,099.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.71 : 11,672.64 = 3,398.22 : x
  2. Step 2: Convert to fraction form
    7,777.71/11,672.64 = 3,398.22/x
  3. Step 3: Cross multiply
    7,777.71x = 11,672.64 × 3,398.22
  4. Step 4: Simplify right side
    7,777.71x = 39,666,198.70
  5. Step 5: Solve for x
    x = 39,666,198.70/7,777.71
  6. Step 6: Final answer
    x = 5,099.98

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1.5x scale

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.