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Finding the Fourth Proportional to 6,886.62, 9,504.12 and 3,903

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Solution

The fourth proportional to 6,886.62, 9,504.12 and 3,903 is: 5,386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.62 : 9,504.12 = 3,903 : x
  2. Step 2: Convert to fraction form
    6,886.62/9,504.12 = 3,903/x
  3. Step 3: Cross multiply
    6,886.62x = 9,504.12 × 3,903
  4. Step 4: Simplify right side
    6,886.62x = 37,094,580.36
  5. Step 5: Solve for x
    x = 37,094,580.36/6,886.62
  6. Step 6: Final answer
    x = 5,386.47

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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.