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Finding the Fourth Proportional to 7,801.96, 11,703.09 and 3,640.83

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Solution

The fourth proportional to 7,801.96, 11,703.09 and 3,640.83 is: 5,461.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.96 : 11,703.09 = 3,640.83 : x
  2. Step 2: Convert to fraction form
    7,801.96/11,703.09 = 3,640.83/x
  3. Step 3: Cross multiply
    7,801.96x = 11,703.09 × 3,640.83
  4. Step 4: Simplify right side
    7,801.96x = 42,608,961.16
  5. Step 5: Solve for x
    x = 42,608,961.16/7,801.96
  6. Step 6: Final answer
    x = 5,461.31

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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.