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Finding the Fourth Proportional to 8,423.64, 12,636.87 and 2,578.89

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Solution

The fourth proportional to 8,423.64, 12,636.87 and 2,578.89 is: 3,868.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423.64 : 12,636.87 = 2,578.89 : x
  2. Step 2: Convert to fraction form
    8,423.64/12,636.87 = 2,578.89/x
  3. Step 3: Cross multiply
    8,423.64x = 12,636.87 × 2,578.89
  4. Step 4: Simplify right side
    8,423.64x = 32,589,097.67
  5. Step 5: Solve for x
    x = 32,589,097.67/8,423.64
  6. Step 6: Final answer
    x = 3,868.77

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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.