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Finding the Fourth Proportional to 7,187.64, 10,783.20 and 2,745.52

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Solution

The fourth proportional to 7,187.64, 10,783.20 and 2,745.52 is: 4,118.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.64 : 10,783.20 = 2,745.52 : x
  2. Step 2: Convert to fraction form
    7,187.64/10,783.20 = 2,745.52/x
  3. Step 3: Cross multiply
    7,187.64x = 10,783.20 × 2,745.52
  4. Step 4: Simplify right side
    7,187.64x = 29,605,497.21
  5. Step 5: Solve for x
    x = 29,605,497.21/7,187.64
  6. Step 6: Final answer
    x = 4,118.95

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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.