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Finding the Fourth Proportional to 11,867.88, 17,802.86 and 3,102.78

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Solution

The fourth proportional to 11,867.88, 17,802.86 and 3,102.78 is: 4,654.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867.88 : 17,802.86 = 3,102.78 : x
  2. Step 2: Convert to fraction form
    11,867.88/17,802.86 = 3,102.78/x
  3. Step 3: Cross multiply
    11,867.88x = 17,802.86 × 3,102.78
  4. Step 4: Simplify right side
    11,867.88x = 55,238,342.44
  5. Step 5: Solve for x
    x = 55,238,342.44/11,867.88
  6. Step 6: Final answer
    x = 4,654.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.