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Finding the Fourth Proportional to 8,518.31, 11,762.57 and 8,137.82

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Solution

The fourth proportional to 8,518.31, 11,762.57 and 8,137.82 is: 11,237.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,518.31 : 11,762.57 = 8,137.82 : x
  2. Step 2: Convert to fraction form
    8,518.31/11,762.57 = 8,137.82/x
  3. Step 3: Cross multiply
    8,518.31x = 11,762.57 × 8,137.82
  4. Step 4: Simplify right side
    8,518.31x = 95,721,615.21
  5. Step 5: Solve for x
    x = 95,721,615.21/8,518.31
  6. Step 6: Final answer
    x = 11,237.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.