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Finding the Fourth Proportional to 7,213.76, 9,954.96 and 3,901.76

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Solution

The fourth proportional to 7,213.76, 9,954.96 and 3,901.76 is: 5,384.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.76 : 9,954.96 = 3,901.76 : x
  2. Step 2: Convert to fraction form
    7,213.76/9,954.96 = 3,901.76/x
  3. Step 3: Cross multiply
    7,213.76x = 9,954.96 × 3,901.76
  4. Step 4: Simplify right side
    7,213.76x = 38,841,864.73
  5. Step 5: Solve for x
    x = 38,841,864.73/7,213.76
  6. Step 6: Final answer
    x = 5,384.41

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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.