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Finding the Fourth Proportional to 7,071.96, 10,608 and 1,877.76

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Solution

The fourth proportional to 7,071.96, 10,608 and 1,877.76 is: 2,816.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.96 : 10,608 = 1,877.76 : x
  2. Step 2: Convert to fraction form
    7,071.96/10,608 = 1,877.76/x
  3. Step 3: Cross multiply
    7,071.96x = 10,608 × 1,877.76
  4. Step 4: Simplify right side
    7,071.96x = 19,919,278.08
  5. Step 5: Solve for x
    x = 19,919,278.08/7,071.96
  6. Step 6: Final answer
    x = 2,816.66

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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.