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Finding the Fourth Proportional to 11,591.63, 15,993.75 and 7,821.79

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Solution

The fourth proportional to 11,591.63, 15,993.75 and 7,821.79 is: 10,792.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.63 : 15,993.75 = 7,821.79 : x
  2. Step 2: Convert to fraction form
    11,591.63/15,993.75 = 7,821.79/x
  3. Step 3: Cross multiply
    11,591.63x = 15,993.75 × 7,821.79
  4. Step 4: Simplify right side
    11,591.63x = 125,099,753.81
  5. Step 5: Solve for x
    x = 125,099,753.81/11,591.63
  6. Step 6: Final answer
    x = 10,792.25

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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.