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Finding the Fourth Proportional to 14,494.31, 21,741.80 and 8,209.42

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Solution

The fourth proportional to 14,494.31, 21,741.80 and 8,209.42 is: 12,314.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,494.31 : 21,741.80 = 8,209.42 : x
  2. Step 2: Convert to fraction form
    14,494.31/21,741.80 = 8,209.42/x
  3. Step 3: Cross multiply
    14,494.31x = 21,741.80 × 8,209.42
  4. Step 4: Simplify right side
    14,494.31x = 178,487,418.00
  5. Step 5: Solve for x
    x = 178,487,418.00/14,494.31
  6. Step 6: Final answer
    x = 12,314.31

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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.