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Finding the Fourth Proportional to 6,427.13, 9,642 and 2,729.34

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Solution

The fourth proportional to 6,427.13, 9,642 and 2,729.34 is: 4,094.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.13 : 9,642 = 2,729.34 : x
  2. Step 2: Convert to fraction form
    6,427.13/9,642 = 2,729.34/x
  3. Step 3: Cross multiply
    6,427.13x = 9,642 × 2,729.34
  4. Step 4: Simplify right side
    6,427.13x = 26,316,296.28
  5. Step 5: Solve for x
    x = 26,316,296.28/6,427.13
  6. Step 6: Final answer
    x = 4,094.57

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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.