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Finding the Fourth Proportional to 7,071.84, 9,757.80 and 4,086.72

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Solution

The fourth proportional to 7,071.84, 9,757.80 and 4,086.72 is: 5,638.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.84 : 9,757.80 = 4,086.72 : x
  2. Step 2: Convert to fraction form
    7,071.84/9,757.80 = 4,086.72/x
  3. Step 3: Cross multiply
    7,071.84x = 9,757.80 × 4,086.72
  4. Step 4: Simplify right side
    7,071.84x = 39,877,396.42
  5. Step 5: Solve for x
    x = 39,877,396.42/7,071.84
  6. Step 6: Final answer
    x = 5,638.90

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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.