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Finding the Fourth Proportional to 9,891, 13,651.86 and 6,534.48

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Solution

The fourth proportional to 9,891, 13,651.86 and 6,534.48 is: 9,019.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891 : 13,651.86 = 6,534.48 : x
  2. Step 2: Convert to fraction form
    9,891/13,651.86 = 6,534.48/x
  3. Step 3: Cross multiply
    9,891x = 13,651.86 × 6,534.48
  4. Step 4: Simplify right side
    9,891x = 89,207,806.13
  5. Step 5: Solve for x
    x = 89,207,806.13/9,891
  6. Step 6: Final answer
    x = 9,019.09

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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.