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Finding the Fourth Proportional to 6,607.50, 9,116.92 and 3,811.38

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Solution

The fourth proportional to 6,607.50, 9,116.92 and 3,811.38 is: 5,258.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,607.50 : 9,116.92 = 3,811.38 : x
  2. Step 2: Convert to fraction form
    6,607.50/9,116.92 = 3,811.38/x
  3. Step 3: Cross multiply
    6,607.50x = 9,116.92 × 3,811.38
  4. Step 4: Simplify right side
    6,607.50x = 34,748,046.55
  5. Step 5: Solve for x
    x = 34,748,046.55/6,607.50
  6. Step 6: Final answer
    x = 5,258.88

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1.5x scale

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.