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Finding the Fourth Proportional to 9,640.80, 13,305.24 and 5,863.14

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Solution

The fourth proportional to 9,640.80, 13,305.24 and 5,863.14 is: 8,091.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.80 : 13,305.24 = 5,863.14 : x
  2. Step 2: Convert to fraction form
    9,640.80/13,305.24 = 5,863.14/x
  3. Step 3: Cross multiply
    9,640.80x = 13,305.24 × 5,863.14
  4. Step 4: Simplify right side
    9,640.80x = 78,010,484.85
  5. Step 5: Solve for x
    x = 78,010,484.85/9,640.80
  6. Step 6: Final answer
    x = 8,091.70

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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.