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Finding the Fourth Proportional to 7,764.64, 11,652 and 3,148

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Solution

The fourth proportional to 7,764.64, 11,652 and 3,148 is: 4,724.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.64 : 11,652 = 3,148 : x
  2. Step 2: Convert to fraction form
    7,764.64/11,652 = 3,148/x
  3. Step 3: Cross multiply
    7,764.64x = 11,652 × 3,148
  4. Step 4: Simplify right side
    7,764.64x = 36,680,496
  5. Step 5: Solve for x
    x = 36,680,496/7,764.64
  6. Step 6: Final answer
    x = 4,724.04

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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.