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Finding the Fourth Proportional to 7,699.80, 11,549.70 and 2,769.60

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Solution

The fourth proportional to 7,699.80, 11,549.70 and 2,769.60 is: 4,154.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.80 : 11,549.70 = 2,769.60 : x
  2. Step 2: Convert to fraction form
    7,699.80/11,549.70 = 2,769.60/x
  3. Step 3: Cross multiply
    7,699.80x = 11,549.70 × 2,769.60
  4. Step 4: Simplify right side
    7,699.80x = 31,988,049.12
  5. Step 5: Solve for x
    x = 31,988,049.12/7,699.80
  6. Step 6: Final answer
    x = 4,154.40

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1.5x scale

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.