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Finding the Fourth Proportional to 14,448.53, 21,655.05 and 8,213.75

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Solution

The fourth proportional to 14,448.53, 21,655.05 and 8,213.75 is: 12,310.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,448.53 : 21,655.05 = 8,213.75 : x
  2. Step 2: Convert to fraction form
    14,448.53/21,655.05 = 8,213.75/x
  3. Step 3: Cross multiply
    14,448.53x = 21,655.05 × 8,213.75
  4. Step 4: Simplify right side
    14,448.53x = 177,869,166.94
  5. Step 5: Solve for x
    x = 177,869,166.94/14,448.53
  6. Step 6: Final answer
    x = 12,310.54

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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.