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Finding the Fourth Proportional to 6,681.57, 9,220.17 and 3,697.21

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Solution

The fourth proportional to 6,681.57, 9,220.17 and 3,697.21 is: 5,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.57 : 9,220.17 = 3,697.21 : x
  2. Step 2: Convert to fraction form
    6,681.57/9,220.17 = 3,697.21/x
  3. Step 3: Cross multiply
    6,681.57x = 9,220.17 × 3,697.21
  4. Step 4: Simplify right side
    6,681.57x = 34,088,904.73
  5. Step 5: Solve for x
    x = 34,088,904.73/6,681.57
  6. Step 6: Final answer
    x = 5,101.93

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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.