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Finding the Fourth Proportional to 14,453.88, 21,683.84 and 8,216.76

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Solution

The fourth proportional to 14,453.88, 21,683.84 and 8,216.76 is: 12,326.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,453.88 : 21,683.84 = 8,216.76 : x
  2. Step 2: Convert to fraction form
    14,453.88/21,683.84 = 8,216.76/x
  3. Step 3: Cross multiply
    14,453.88x = 21,683.84 × 8,216.76
  4. Step 4: Simplify right side
    14,453.88x = 178,170,909.16
  5. Step 5: Solve for x
    x = 178,170,909.16/14,453.88
  6. Step 6: Final answer
    x = 12,326.86

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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.