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Finding the Fourth Proportional to 7,866.68, 11,795.52 and 3,188.96

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Solution

The fourth proportional to 7,866.68, 11,795.52 and 3,188.96 is: 4,781.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.68 : 11,795.52 = 3,188.96 : x
  2. Step 2: Convert to fraction form
    7,866.68/11,795.52 = 3,188.96/x
  3. Step 3: Cross multiply
    7,866.68x = 11,795.52 × 3,188.96
  4. Step 4: Simplify right side
    7,866.68x = 37,615,441.46
  5. Step 5: Solve for x
    x = 37,615,441.46/7,866.68
  6. Step 6: Final answer
    x = 4,781.62

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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.