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Finding the Fourth Proportional to 8,384, 12,578.73 and 4,000.89

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Solution

The fourth proportional to 8,384, 12,578.73 and 4,000.89 is: 6,002.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384 : 12,578.73 = 4,000.89 : x
  2. Step 2: Convert to fraction form
    8,384/12,578.73 = 4,000.89/x
  3. Step 3: Cross multiply
    8,384x = 12,578.73 × 4,000.89
  4. Step 4: Simplify right side
    8,384x = 50,326,115.07
  5. Step 5: Solve for x
    x = 50,326,115.07/8,384
  6. Step 6: Final answer
    x = 6,002.64

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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.