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Finding the Fourth Proportional to 7,700, 11,552.48 and 2,769.60

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Solution

The fourth proportional to 7,700, 11,552.48 and 2,769.60 is: 4,155.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700 : 11,552.48 = 2,769.60 : x
  2. Step 2: Convert to fraction form
    7,700/11,552.48 = 2,769.60/x
  3. Step 3: Cross multiply
    7,700x = 11,552.48 × 2,769.60
  4. Step 4: Simplify right side
    7,700x = 31,995,748.61
  5. Step 5: Solve for x
    x = 31,995,748.61/7,700
  6. Step 6: Final answer
    x = 4,155.29

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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.