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Finding the Fourth Proportional to 6,886.78, 9,503.73 and 3,742.96

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Solution

The fourth proportional to 6,886.78, 9,503.73 and 3,742.96 is: 5,165.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.78 : 9,503.73 = 3,742.96 : x
  2. Step 2: Convert to fraction form
    6,886.78/9,503.73 = 3,742.96/x
  3. Step 3: Cross multiply
    6,886.78x = 9,503.73 × 3,742.96
  4. Step 4: Simplify right side
    6,886.78x = 35,572,081.24
  5. Step 5: Solve for x
    x = 35,572,081.24/6,886.78
  6. Step 6: Final answer
    x = 5,165.27

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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.