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Finding the Fourth Proportional to 7,188, 10,778.76 and 2,805.36

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Solution

The fourth proportional to 7,188, 10,778.76 and 2,805.36 is: 4,206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188 : 10,778.76 = 2,805.36 : x
  2. Step 2: Convert to fraction form
    7,188/10,778.76 = 2,805.36/x
  3. Step 3: Cross multiply
    7,188x = 10,778.76 × 2,805.36
  4. Step 4: Simplify right side
    7,188x = 30,238,302.15
  5. Step 5: Solve for x
    x = 30,238,302.15/7,188
  6. Step 6: Final answer
    x = 4,206.78

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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.