Home / 7,770.80-10,723.36-4,234

Finding the Fourth Proportional to 7,770.80, 10,723.36 and 4,234

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Solution

The fourth proportional to 7,770.80, 10,723.36 and 4,234 is: 5,842.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.80 : 10,723.36 = 4,234 : x
  2. Step 2: Convert to fraction form
    7,770.80/10,723.36 = 4,234/x
  3. Step 3: Cross multiply
    7,770.80x = 10,723.36 × 4,234
  4. Step 4: Simplify right side
    7,770.80x = 45,402,706.24
  5. Step 5: Solve for x
    x = 45,402,706.24/7,770.80
  6. Step 6: Final answer
    x = 5,842.73

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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.