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Finding the Fourth Proportional to 7,561.50, 10,407.33 and 6,659.33

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Solution

The fourth proportional to 7,561.50, 10,407.33 and 6,659.33 is: 9,165.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561.50 : 10,407.33 = 6,659.33 : x
  2. Step 2: Convert to fraction form
    7,561.50/10,407.33 = 6,659.33/x
  3. Step 3: Cross multiply
    7,561.50x = 10,407.33 × 6,659.33
  4. Step 4: Simplify right side
    7,561.50x = 69,305,792.85
  5. Step 5: Solve for x
    x = 69,305,792.85/7,561.50
  6. Step 6: Final answer
    x = 9,165.61

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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.