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Finding the Fourth Proportional to 7,781.68, 11,662.28 and 3,162.16

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Solution

The fourth proportional to 7,781.68, 11,662.28 and 3,162.16 is: 4,739.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.68 : 11,662.28 = 3,162.16 : x
  2. Step 2: Convert to fraction form
    7,781.68/11,662.28 = 3,162.16/x
  3. Step 3: Cross multiply
    7,781.68x = 11,662.28 × 3,162.16
  4. Step 4: Simplify right side
    7,781.68x = 36,877,995.32
  5. Step 5: Solve for x
    x = 36,877,995.32/7,781.68
  6. Step 6: Final answer
    x = 4,739.08

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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.