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Finding the Fourth Proportional to 7,745.28, 11,600.64 and 5,447.04

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Solution

The fourth proportional to 7,745.28, 11,600.64 and 5,447.04 is: 8,158.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.28 : 11,600.64 = 5,447.04 : x
  2. Step 2: Convert to fraction form
    7,745.28/11,600.64 = 5,447.04/x
  3. Step 3: Cross multiply
    7,745.28x = 11,600.64 × 5,447.04
  4. Step 4: Simplify right side
    7,745.28x = 63,189,150.11
  5. Step 5: Solve for x
    x = 63,189,150.11/7,745.28
  6. Step 6: Final answer
    x = 8,158.41

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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.