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Finding the Fourth Proportional to 7,712.94, 11,566.62 and 2,781.26

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Solution

The fourth proportional to 7,712.94, 11,566.62 and 2,781.26 is: 4,170.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.94 : 11,566.62 = 2,781.26 : x
  2. Step 2: Convert to fraction form
    7,712.94/11,566.62 = 2,781.26/x
  3. Step 3: Cross multiply
    7,712.94x = 11,566.62 × 2,781.26
  4. Step 4: Simplify right side
    7,712.94x = 32,169,719.71
  5. Step 5: Solve for x
    x = 32,169,719.71/7,712.94
  6. Step 6: Final answer
    x = 4,170.88

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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.