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Finding the Fourth Proportional to 9,156.81, 13,803.84 and 8,546.49

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Solution

The fourth proportional to 9,156.81, 13,803.84 and 8,546.49 is: 12,883.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.81 : 13,803.84 = 8,546.49 : x
  2. Step 2: Convert to fraction form
    9,156.81/13,803.84 = 8,546.49/x
  3. Step 3: Cross multiply
    9,156.81x = 13,803.84 × 8,546.49
  4. Step 4: Simplify right side
    9,156.81x = 117,974,380.52
  5. Step 5: Solve for x
    x = 117,974,380.52/9,156.81
  6. Step 6: Final answer
    x = 12,883.79

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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.