Home / 7,723-10,657.68-4,186.12

Finding the Fourth Proportional to 7,723, 10,657.68 and 4,186.12

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Solution

The fourth proportional to 7,723, 10,657.68 and 4,186.12 is: 5,776.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723 : 10,657.68 = 4,186.12 : x
  2. Step 2: Convert to fraction form
    7,723/10,657.68 = 4,186.12/x
  3. Step 3: Cross multiply
    7,723x = 10,657.68 × 4,186.12
  4. Step 4: Simplify right side
    7,723x = 44,614,327.40
  5. Step 5: Solve for x
    x = 44,614,327.40/7,723
  6. Step 6: Final answer
    x = 5,776.81

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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.