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Finding the Fourth Proportional to 14,571.64, 21,856.20 and 8,723.80

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Solution

The fourth proportional to 14,571.64, 21,856.20 and 8,723.80 is: 13,084.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,571.64 : 21,856.20 = 8,723.80 : x
  2. Step 2: Convert to fraction form
    14,571.64/21,856.20 = 8,723.80/x
  3. Step 3: Cross multiply
    14,571.64x = 21,856.20 × 8,723.80
  4. Step 4: Simplify right side
    14,571.64x = 190,669,117.56
  5. Step 5: Solve for x
    x = 190,669,117.56/14,571.64
  6. Step 6: Final answer
    x = 13,084.95

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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.