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Finding the Fourth Proportional to 6,734, 9,293.88 and 6,438.80

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Solution

The fourth proportional to 6,734, 9,293.88 and 6,438.80 is: 8,886.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734 : 9,293.88 = 6,438.80 : x
  2. Step 2: Convert to fraction form
    6,734/9,293.88 = 6,438.80/x
  3. Step 3: Cross multiply
    6,734x = 9,293.88 × 6,438.80
  4. Step 4: Simplify right side
    6,734x = 59,841,434.54
  5. Step 5: Solve for x
    x = 59,841,434.54/6,734
  6. Step 6: Final answer
    x = 8,886.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.