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Finding the Fourth Proportional to 6,675.28, 9,211.74 and 3,691

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Solution

The fourth proportional to 6,675.28, 9,211.74 and 3,691 is: 5,093.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675.28 : 9,211.74 = 3,691 : x
  2. Step 2: Convert to fraction form
    6,675.28/9,211.74 = 3,691/x
  3. Step 3: Cross multiply
    6,675.28x = 9,211.74 × 3,691
  4. Step 4: Simplify right side
    6,675.28x = 34,000,532.34
  5. Step 5: Solve for x
    x = 34,000,532.34/6,675.28
  6. Step 6: Final answer
    x = 5,093.50

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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.