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Finding the Fourth Proportional to 8,258.76, 12,388.75 and 2,415.83

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Solution

The fourth proportional to 8,258.76, 12,388.75 and 2,415.83 is: 3,623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258.76 : 12,388.75 = 2,415.83 : x
  2. Step 2: Convert to fraction form
    8,258.76/12,388.75 = 2,415.83/x
  3. Step 3: Cross multiply
    8,258.76x = 12,388.75 × 2,415.83
  4. Step 4: Simplify right side
    8,258.76x = 29,929,045.93
  5. Step 5: Solve for x
    x = 29,929,045.93/8,258.76
  6. Step 6: Final answer
    x = 3,623.92

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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.