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Finding the Fourth Proportional to 7,214, 9,955.34 and 3,902

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Solution

The fourth proportional to 7,214, 9,955.34 and 3,902 is: 5,384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214 : 9,955.34 = 3,902 : x
  2. Step 2: Convert to fraction form
    7,214/9,955.34 = 3,902/x
  3. Step 3: Cross multiply
    7,214x = 9,955.34 × 3,902
  4. Step 4: Simplify right side
    7,214x = 38,845,736.68
  5. Step 5: Solve for x
    x = 38,845,736.68/7,214
  6. Step 6: Final answer
    x = 5,384.77

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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.