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Finding the Fourth Proportional to 34,578.40, 51,867.60 and 11,221.12

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Solution

The fourth proportional to 34,578.40, 51,867.60 and 11,221.12 is: 16,831.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,578.40 : 51,867.60 = 11,221.12 : x
  2. Step 2: Convert to fraction form
    34,578.40/51,867.60 = 11,221.12/x
  3. Step 3: Cross multiply
    34,578.40x = 51,867.60 × 11,221.12
  4. Step 4: Simplify right side
    34,578.40x = 582,012,563.71
  5. Step 5: Solve for x
    x = 582,012,563.71/34,578.40
  6. Step 6: Final answer
    x = 16,831.68

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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.