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Finding the Fourth Proportional to 12,568.67, 18,831.23 and 7,627.96

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Solution

The fourth proportional to 12,568.67, 18,831.23 and 7,627.96 is: 11,428.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,568.67 : 18,831.23 = 7,627.96 : x
  2. Step 2: Convert to fraction form
    12,568.67/18,831.23 = 7,627.96/x
  3. Step 3: Cross multiply
    12,568.67x = 18,831.23 × 7,627.96
  4. Step 4: Simplify right side
    12,568.67x = 143,643,869.19
  5. Step 5: Solve for x
    x = 143,643,869.19/12,568.67
  6. Step 6: Final answer
    x = 11,428.72

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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.