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Finding the Fourth Proportional to 7,885.59, 11,831.79 and 2,954.61

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Solution

The fourth proportional to 7,885.59, 11,831.79 and 2,954.61 is: 4,433.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.59 : 11,831.79 = 2,954.61 : x
  2. Step 2: Convert to fraction form
    7,885.59/11,831.79 = 2,954.61/x
  3. Step 3: Cross multiply
    7,885.59x = 11,831.79 × 2,954.61
  4. Step 4: Simplify right side
    7,885.59x = 34,958,325.05
  5. Step 5: Solve for x
    x = 34,958,325.05/7,885.59
  6. Step 6: Final answer
    x = 4,433.19

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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.