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Finding the Fourth Proportional to 7,759.72, 10,723.62 and 6,895.72

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Solution

The fourth proportional to 7,759.72, 10,723.62 and 6,895.72 is: 9,529.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.72 : 10,723.62 = 6,895.72 : x
  2. Step 2: Convert to fraction form
    7,759.72/10,723.62 = 6,895.72/x
  3. Step 3: Cross multiply
    7,759.72x = 10,723.62 × 6,895.72
  4. Step 4: Simplify right side
    7,759.72x = 73,947,080.91
  5. Step 5: Solve for x
    x = 73,947,080.91/7,759.72
  6. Step 6: Final answer
    x = 9,529.61

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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.