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Finding the Fourth Proportional to 8,421.98, 12,633 and 2,578.57

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Solution

The fourth proportional to 8,421.98, 12,633 and 2,578.57 is: 3,867.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421.98 : 12,633 = 2,578.57 : x
  2. Step 2: Convert to fraction form
    8,421.98/12,633 = 2,578.57/x
  3. Step 3: Cross multiply
    8,421.98x = 12,633 × 2,578.57
  4. Step 4: Simplify right side
    8,421.98x = 32,575,011.65
  5. Step 5: Solve for x
    x = 32,575,011.65/8,421.98
  6. Step 6: Final answer
    x = 3,867.86

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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.