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Finding the Fourth Proportional to 8,504.46, 11,737.71 and 6,638.22

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Solution

The fourth proportional to 8,504.46, 11,737.71 and 6,638.22 is: 9,161.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.46 : 11,737.71 = 6,638.22 : x
  2. Step 2: Convert to fraction form
    8,504.46/11,737.71 = 6,638.22/x
  3. Step 3: Cross multiply
    8,504.46x = 11,737.71 × 6,638.22
  4. Step 4: Simplify right side
    8,504.46x = 77,917,501.28
  5. Step 5: Solve for x
    x = 77,917,501.28/8,504.46
  6. Step 6: Final answer
    x = 9,161.96

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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.