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Finding the Fourth Proportional to 8,722.75, 13,083.16 and 2,398.12

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Solution

The fourth proportional to 8,722.75, 13,083.16 and 2,398.12 is: 3,596.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,722.75 : 13,083.16 = 2,398.12 : x
  2. Step 2: Convert to fraction form
    8,722.75/13,083.16 = 2,398.12/x
  3. Step 3: Cross multiply
    8,722.75x = 13,083.16 × 2,398.12
  4. Step 4: Simplify right side
    8,722.75x = 31,374,981.66
  5. Step 5: Solve for x
    x = 31,374,981.66/8,722.75
  6. Step 6: Final answer
    x = 3,596.92

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