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Finding the Fourth Proportional to 7,769.32, 11,628.12 and 7,077.58

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Solution

The fourth proportional to 7,769.32, 11,628.12 and 7,077.58 is: 10,592.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.32 : 11,628.12 = 7,077.58 : x
  2. Step 2: Convert to fraction form
    7,769.32/11,628.12 = 7,077.58/x
  3. Step 3: Cross multiply
    7,769.32x = 11,628.12 × 7,077.58
  4. Step 4: Simplify right side
    7,769.32x = 82,298,949.55
  5. Step 5: Solve for x
    x = 82,298,949.55/7,769.32
  6. Step 6: Final answer
    x = 10,592.81

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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.