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Finding the Fourth Proportional to 10,641.87, 15,976.95 and 9,091.84

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Solution

The fourth proportional to 10,641.87, 15,976.95 and 9,091.84 is: 13,649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.87 : 15,976.95 = 9,091.84 : x
  2. Step 2: Convert to fraction form
    10,641.87/15,976.95 = 9,091.84/x
  3. Step 3: Cross multiply
    10,641.87x = 15,976.95 × 9,091.84
  4. Step 4: Simplify right side
    10,641.87x = 145,259,873.09
  5. Step 5: Solve for x
    x = 145,259,873.09/10,641.87
  6. Step 6: Final answer
    x = 13,649.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.