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Finding the Fourth Proportional to 6,388.68, 9,580.68 and 3,538.52

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Solution

The fourth proportional to 6,388.68, 9,580.68 and 3,538.52 is: 5,306.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.68 : 9,580.68 = 3,538.52 : x
  2. Step 2: Convert to fraction form
    6,388.68/9,580.68 = 3,538.52/x
  3. Step 3: Cross multiply
    6,388.68x = 9,580.68 × 3,538.52
  4. Step 4: Simplify right side
    6,388.68x = 33,901,427.79
  5. Step 5: Solve for x
    x = 33,901,427.79/6,388.68
  6. Step 6: Final answer
    x = 5,306.48

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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.