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Finding the Fourth Proportional to 6,886.96, 9,501.24 and 3,902

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Solution

The fourth proportional to 6,886.96, 9,501.24 and 3,902 is: 5,383.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.96 : 9,501.24 = 3,902 : x
  2. Step 2: Convert to fraction form
    6,886.96/9,501.24 = 3,902/x
  3. Step 3: Cross multiply
    6,886.96x = 9,501.24 × 3,902
  4. Step 4: Simplify right side
    6,886.96x = 37,073,838.48
  5. Step 5: Solve for x
    x = 37,073,838.48/6,886.96
  6. Step 6: Final answer
    x = 5,383.19

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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.