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Finding the Fourth Proportional to 9,881, 13,638.06 and 6,524.48

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Solution

The fourth proportional to 9,881, 13,638.06 and 6,524.48 is: 9,005.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881 : 13,638.06 = 6,524.48 : x
  2. Step 2: Convert to fraction form
    9,881/13,638.06 = 6,524.48/x
  3. Step 3: Cross multiply
    9,881x = 13,638.06 × 6,524.48
  4. Step 4: Simplify right side
    9,881x = 88,981,249.71
  5. Step 5: Solve for x
    x = 88,981,249.71/9,881
  6. Step 6: Final answer
    x = 9,005.29

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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.