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Finding the Fourth Proportional to 7,174, 10,765.11 and 2,790.90

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Solution

The fourth proportional to 7,174, 10,765.11 and 2,790.90 is: 4,187.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174 : 10,765.11 = 2,790.90 : x
  2. Step 2: Convert to fraction form
    7,174/10,765.11 = 2,790.90/x
  3. Step 3: Cross multiply
    7,174x = 10,765.11 × 2,790.90
  4. Step 4: Simplify right side
    7,174x = 30,044,345.50
  5. Step 5: Solve for x
    x = 30,044,345.50/7,174
  6. Step 6: Final answer
    x = 4,187.95

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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.