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Finding the Fourth Proportional to 11,383.25, 15,707.73 and 6,347

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Solution

The fourth proportional to 11,383.25, 15,707.73 and 6,347 is: 8,758.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,383.25 : 15,707.73 = 6,347 : x
  2. Step 2: Convert to fraction form
    11,383.25/15,707.73 = 6,347/x
  3. Step 3: Cross multiply
    11,383.25x = 15,707.73 × 6,347
  4. Step 4: Simplify right side
    11,383.25x = 99,696,962.31
  5. Step 5: Solve for x
    x = 99,696,962.31/11,383.25
  6. Step 6: Final answer
    x = 8,758.22

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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.