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Finding the Fourth Proportional to 5,615.35, 8,398 and 4,213.24

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Solution

The fourth proportional to 5,615.35, 8,398 and 4,213.24 is: 6,301.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.35 : 8,398 = 4,213.24 : x
  2. Step 2: Convert to fraction form
    5,615.35/8,398 = 4,213.24/x
  3. Step 3: Cross multiply
    5,615.35x = 8,398 × 4,213.24
  4. Step 4: Simplify right side
    5,615.35x = 35,382,789.52
  5. Step 5: Solve for x
    x = 35,382,789.52/5,615.35
  6. Step 6: Final answer
    x = 6,301.08

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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.