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Finding the Fourth Proportional to 9,411.09, 12,957.75 and 7,991.79

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Solution

The fourth proportional to 9,411.09, 12,957.75 and 7,991.79 is: 11,003.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.09 : 12,957.75 = 7,991.79 : x
  2. Step 2: Convert to fraction form
    9,411.09/12,957.75 = 7,991.79/x
  3. Step 3: Cross multiply
    9,411.09x = 12,957.75 × 7,991.79
  4. Step 4: Simplify right side
    9,411.09x = 103,555,616.87
  5. Step 5: Solve for x
    x = 103,555,616.87/9,411.09
  6. Step 6: Final answer
    x = 11,003.57

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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.