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Finding the Fourth Proportional to 7,390, 11,085 and 2,769.76

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Solution

The fourth proportional to 7,390, 11,085 and 2,769.76 is: 4,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,390 : 11,085 = 2,769.76 : x
  2. Step 2: Convert to fraction form
    7,390/11,085 = 2,769.76/x
  3. Step 3: Cross multiply
    7,390x = 11,085 × 2,769.76
  4. Step 4: Simplify right side
    7,390x = 30,702,789.60
  5. Step 5: Solve for x
    x = 30,702,789.60/7,390
  6. Step 6: Final answer
    x = 4,154.64

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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.