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Finding the Fourth Proportional to 7,773.68, 11,655.66 and 2,578.34

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Solution

The fourth proportional to 7,773.68, 11,655.66 and 2,578.34 is: 3,865.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.68 : 11,655.66 = 2,578.34 : x
  2. Step 2: Convert to fraction form
    7,773.68/11,655.66 = 2,578.34/x
  3. Step 3: Cross multiply
    7,773.68x = 11,655.66 × 2,578.34
  4. Step 4: Simplify right side
    7,773.68x = 30,052,254.40
  5. Step 5: Solve for x
    x = 30,052,254.40/7,773.68
  6. Step 6: Final answer
    x = 3,865.90

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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.