Home / 7,769.20-10,723-4,412.14

Finding the Fourth Proportional to 7,769.20, 10,723 and 4,412.14

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Solution

The fourth proportional to 7,769.20, 10,723 and 4,412.14 is: 6,089.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.20 : 10,723 = 4,412.14 : x
  2. Step 2: Convert to fraction form
    7,769.20/10,723 = 4,412.14/x
  3. Step 3: Cross multiply
    7,769.20x = 10,723 × 4,412.14
  4. Step 4: Simplify right side
    7,769.20x = 47,311,377.22
  5. Step 5: Solve for x
    x = 47,311,377.22/7,769.20
  6. Step 6: Final answer
    x = 6,089.61

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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.