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Finding the Fourth Proportional to 6,214.56, 9,324 and 4,142.88

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Solution

The fourth proportional to 6,214.56, 9,324 and 4,142.88 is: 6,215.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.56 : 9,324 = 4,142.88 : x
  2. Step 2: Convert to fraction form
    6,214.56/9,324 = 4,142.88/x
  3. Step 3: Cross multiply
    6,214.56x = 9,324 × 4,142.88
  4. Step 4: Simplify right side
    6,214.56x = 38,628,213.12
  5. Step 5: Solve for x
    x = 38,628,213.12/6,214.56
  6. Step 6: Final answer
    x = 6,215.76

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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.