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Finding the Fourth Proportional to 11,324.66, 15,627.50 and 6,289.20

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Solution

The fourth proportional to 11,324.66, 15,627.50 and 6,289.20 is: 8,678.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,324.66 : 15,627.50 = 6,289.20 : x
  2. Step 2: Convert to fraction form
    11,324.66/15,627.50 = 6,289.20/x
  3. Step 3: Cross multiply
    11,324.66x = 15,627.50 × 6,289.20
  4. Step 4: Simplify right side
    11,324.66x = 98,284,441.55
  5. Step 5: Solve for x
    x = 98,284,441.55/11,324.66
  6. Step 6: Final answer
    x = 8,678.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.