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Finding the Fourth Proportional to 7,558.78, 11,321.76 and 3,655

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Solution

The fourth proportional to 7,558.78, 11,321.76 and 3,655 is: 5,474.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,558.78 : 11,321.76 = 3,655 : x
  2. Step 2: Convert to fraction form
    7,558.78/11,321.76 = 3,655/x
  3. Step 3: Cross multiply
    7,558.78x = 11,321.76 × 3,655
  4. Step 4: Simplify right side
    7,558.78x = 41,381,032.80
  5. Step 5: Solve for x
    x = 41,381,032.80/7,558.78
  6. Step 6: Final answer
    x = 5,474.57

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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.