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Finding the Fourth Proportional to 8,113.65, 12,169.43 and 2,566.50

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Solution

The fourth proportional to 8,113.65, 12,169.43 and 2,566.50 is: 3,849.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.65 : 12,169.43 = 2,566.50 : x
  2. Step 2: Convert to fraction form
    8,113.65/12,169.43 = 2,566.50/x
  3. Step 3: Cross multiply
    8,113.65x = 12,169.43 × 2,566.50
  4. Step 4: Simplify right side
    8,113.65x = 31,232,829.26
  5. Step 5: Solve for x
    x = 31,232,829.26/8,113.65
  6. Step 6: Final answer
    x = 3,849.42

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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.