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Finding the Fourth Proportional to 13,822.65, 20,741.27 and 8,287.11

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Solution

The fourth proportional to 13,822.65, 20,741.27 and 8,287.11 is: 12,435.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.65 : 20,741.27 = 8,287.11 : x
  2. Step 2: Convert to fraction form
    13,822.65/20,741.27 = 8,287.11/x
  3. Step 3: Cross multiply
    13,822.65x = 20,741.27 × 8,287.11
  4. Step 4: Simplify right side
    13,822.65x = 171,885,144.59
  5. Step 5: Solve for x
    x = 171,885,144.59/13,822.65
  6. Step 6: Final answer
    x = 12,435.04

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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.