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Finding the Fourth Proportional to 7,769.66, 11,654.19 and 3,089.48

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Solution

The fourth proportional to 7,769.66, 11,654.19 and 3,089.48 is: 4,634.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.66 : 11,654.19 = 3,089.48 : x
  2. Step 2: Convert to fraction form
    7,769.66/11,654.19 = 3,089.48/x
  3. Step 3: Cross multiply
    7,769.66x = 11,654.19 × 3,089.48
  4. Step 4: Simplify right side
    7,769.66x = 36,005,416.06
  5. Step 5: Solve for x
    x = 36,005,416.06/7,769.66
  6. Step 6: Final answer
    x = 4,634.10

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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.