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Finding the Fourth Proportional to 6,521.81, 9,000.25 and 3,968.69

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Solution

The fourth proportional to 6,521.81, 9,000.25 and 3,968.69 is: 5,476.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.81 : 9,000.25 = 3,968.69 : x
  2. Step 2: Convert to fraction form
    6,521.81/9,000.25 = 3,968.69/x
  3. Step 3: Cross multiply
    6,521.81x = 9,000.25 × 3,968.69
  4. Step 4: Simplify right side
    6,521.81x = 35,719,202.17
  5. Step 5: Solve for x
    x = 35,719,202.17/6,521.81
  6. Step 6: Final answer
    x = 5,476.88

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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.