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Finding the Fourth Proportional to 7,071.84, 10,608.42 and 2,688.12

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Solution

The fourth proportional to 7,071.84, 10,608.42 and 2,688.12 is: 4,032.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.84 : 10,608.42 = 2,688.12 : x
  2. Step 2: Convert to fraction form
    7,071.84/10,608.42 = 2,688.12/x
  3. Step 3: Cross multiply
    7,071.84x = 10,608.42 × 2,688.12
  4. Step 4: Simplify right side
    7,071.84x = 28,516,705.97
  5. Step 5: Solve for x
    x = 28,516,705.97/7,071.84
  6. Step 6: Final answer
    x = 4,032.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.