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Finding the Fourth Proportional to 34,390.40, 51,578.40 and 16,872.80

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Solution

The fourth proportional to 34,390.40, 51,578.40 and 16,872.80 is: 25,305.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,390.40 : 51,578.40 = 16,872.80 : x
  2. Step 2: Convert to fraction form
    34,390.40/51,578.40 = 16,872.80/x
  3. Step 3: Cross multiply
    34,390.40x = 51,578.40 × 16,872.80
  4. Step 4: Simplify right side
    34,390.40x = 870,272,027.52
  5. Step 5: Solve for x
    x = 870,272,027.52/34,390.40
  6. Step 6: Final answer
    x = 25,305.67

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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.