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Finding the Fourth Proportional to 22,814.60, 31,481.88 and 12,741.44

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Solution

The fourth proportional to 22,814.60, 31,481.88 and 12,741.44 is: 17,581.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,814.60 : 31,481.88 = 12,741.44 : x
  2. Step 2: Convert to fraction form
    22,814.60/31,481.88 = 12,741.44/x
  3. Step 3: Cross multiply
    22,814.60x = 31,481.88 × 12,741.44
  4. Step 4: Simplify right side
    22,814.60x = 401,124,485.11
  5. Step 5: Solve for x
    x = 401,124,485.11/22,814.60
  6. Step 6: Final answer
    x = 17,581.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.