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Finding the Fourth Proportional to 11,363.64, 15,680.79 and 8,381.12

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Solution

The fourth proportional to 11,363.64, 15,680.79 and 8,381.12 is: 11,565.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,363.64 : 15,680.79 = 8,381.12 : x
  2. Step 2: Convert to fraction form
    11,363.64/15,680.79 = 8,381.12/x
  3. Step 3: Cross multiply
    11,363.64x = 15,680.79 × 8,381.12
  4. Step 4: Simplify right side
    11,363.64x = 131,422,504.28
  5. Step 5: Solve for x
    x = 131,422,504.28/11,363.64
  6. Step 6: Final answer
    x = 11,565.18

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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.