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Finding the Fourth Proportional to 8,509.70, 12,765.33 and 3,578.42

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Solution

The fourth proportional to 8,509.70, 12,765.33 and 3,578.42 is: 5,367.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.70 : 12,765.33 = 3,578.42 : x
  2. Step 2: Convert to fraction form
    8,509.70/12,765.33 = 3,578.42/x
  3. Step 3: Cross multiply
    8,509.70x = 12,765.33 × 3,578.42
  4. Step 4: Simplify right side
    8,509.70x = 45,679,712.18
  5. Step 5: Solve for x
    x = 45,679,712.18/8,509.70
  6. Step 6: Final answer
    x = 5,367.96

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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.