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Finding the Fourth Proportional to 9,284.91, 13,991.24 and 7,677.60

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Solution

The fourth proportional to 9,284.91, 13,991.24 and 7,677.60 is: 11,569.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.91 : 13,991.24 = 7,677.60 : x
  2. Step 2: Convert to fraction form
    9,284.91/13,991.24 = 7,677.60/x
  3. Step 3: Cross multiply
    9,284.91x = 13,991.24 × 7,677.60
  4. Step 4: Simplify right side
    9,284.91x = 107,419,105.84
  5. Step 5: Solve for x
    x = 107,419,105.84/9,284.91
  6. Step 6: Final answer
    x = 11,569.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.