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Finding the Fourth Proportional to 14,910.25, 20,580.47 and 9,942.25

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Solution

The fourth proportional to 14,910.25, 20,580.47 and 9,942.25 is: 13,723.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,910.25 : 20,580.47 = 9,942.25 : x
  2. Step 2: Convert to fraction form
    14,910.25/20,580.47 = 9,942.25/x
  3. Step 3: Cross multiply
    14,910.25x = 20,580.47 × 9,942.25
  4. Step 4: Simplify right side
    14,910.25x = 204,616,177.86
  5. Step 5: Solve for x
    x = 204,616,177.86/14,910.25
  6. Step 6: Final answer
    x = 13,723.19

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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.