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Finding the Fourth Proportional to 8,502.34, 11,729.94 and 6,269.50

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Solution

The fourth proportional to 8,502.34, 11,729.94 and 6,269.50 is: 8,649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.34 : 11,729.94 = 6,269.50 : x
  2. Step 2: Convert to fraction form
    8,502.34/11,729.94 = 6,269.50/x
  3. Step 3: Cross multiply
    8,502.34x = 11,729.94 × 6,269.50
  4. Step 4: Simplify right side
    8,502.34x = 73,540,858.83
  5. Step 5: Solve for x
    x = 73,540,858.83/8,502.34
  6. Step 6: Final answer
    x = 8,649.48

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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.