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Finding the Fourth Proportional to 8,258.66, 12,384.80 and 2,992.55

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Solution

The fourth proportional to 8,258.66, 12,384.80 and 2,992.55 is: 4,487.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258.66 : 12,384.80 = 2,992.55 : x
  2. Step 2: Convert to fraction form
    8,258.66/12,384.80 = 2,992.55/x
  3. Step 3: Cross multiply
    8,258.66x = 12,384.80 × 2,992.55
  4. Step 4: Simplify right side
    8,258.66x = 37,062,067.58
  5. Step 5: Solve for x
    x = 37,062,067.58/8,258.66
  6. Step 6: Final answer
    x = 4,487.66

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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.