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Finding the Fourth Proportional to 6,881.78, 10,322.72 and 1,687.66

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Solution

The fourth proportional to 6,881.78, 10,322.72 and 1,687.66 is: 2,531.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.78 : 10,322.72 = 1,687.66 : x
  2. Step 2: Convert to fraction form
    6,881.78/10,322.72 = 1,687.66/x
  3. Step 3: Cross multiply
    6,881.78x = 10,322.72 × 1,687.66
  4. Step 4: Simplify right side
    6,881.78x = 17,421,181.58
  5. Step 5: Solve for x
    x = 17,421,181.58/6,881.78
  6. Step 6: Final answer
    x = 2,531.49

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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.