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Finding the Fourth Proportional to 7,057.42, 9,740.23 and 4,072.62

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Solution

The fourth proportional to 7,057.42, 9,740.23 and 4,072.62 is: 5,620.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.42 : 9,740.23 = 4,072.62 : x
  2. Step 2: Convert to fraction form
    7,057.42/9,740.23 = 4,072.62/x
  3. Step 3: Cross multiply
    7,057.42x = 9,740.23 × 4,072.62
  4. Step 4: Simplify right side
    7,057.42x = 39,668,255.50
  5. Step 5: Solve for x
    x = 39,668,255.50/7,057.42
  6. Step 6: Final answer
    x = 5,620.79

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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.