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Finding the Fourth Proportional to 8,762.47, 13,112.26 and 8,175.93

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Solution

The fourth proportional to 8,762.47, 13,112.26 and 8,175.93 is: 12,234.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,762.47 : 13,112.26 = 8,175.93 : x
  2. Step 2: Convert to fraction form
    8,762.47/13,112.26 = 8,175.93/x
  3. Step 3: Cross multiply
    8,762.47x = 13,112.26 × 8,175.93
  4. Step 4: Simplify right side
    8,762.47x = 107,204,919.90
  5. Step 5: Solve for x
    x = 107,204,919.90/8,762.47
  6. Step 6: Final answer
    x = 12,234.55

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1.5x scale

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.