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Finding the Fourth Proportional to 8,945.38, 13,471.64 and 8,147.32

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Solution

The fourth proportional to 8,945.38, 13,471.64 and 8,147.32 is: 12,269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,945.38 : 13,471.64 = 8,147.32 : x
  2. Step 2: Convert to fraction form
    8,945.38/13,471.64 = 8,147.32/x
  3. Step 3: Cross multiply
    8,945.38x = 13,471.64 × 8,147.32
  4. Step 4: Simplify right side
    8,945.38x = 109,757,762.00
  5. Step 5: Solve for x
    x = 109,757,762.00/8,945.38
  6. Step 6: Final answer
    x = 12,269.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.