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Finding the Fourth Proportional to 8,411.81, 11,600.82 and 6,640.34

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Solution

The fourth proportional to 8,411.81, 11,600.82 and 6,640.34 is: 9,157.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.81 : 11,600.82 = 6,640.34 : x
  2. Step 2: Convert to fraction form
    8,411.81/11,600.82 = 6,640.34/x
  3. Step 3: Cross multiply
    8,411.81x = 11,600.82 × 6,640.34
  4. Step 4: Simplify right side
    8,411.81x = 77,033,331.07
  5. Step 5: Solve for x
    x = 77,033,331.07/8,411.81
  6. Step 6: Final answer
    x = 9,157.76

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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.