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Finding the Fourth Proportional to 7,072.74, 10,609.17 and 2,142.77

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Solution

The fourth proportional to 7,072.74, 10,609.17 and 2,142.77 is: 3,214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.74 : 10,609.17 = 2,142.77 : x
  2. Step 2: Convert to fraction form
    7,072.74/10,609.17 = 2,142.77/x
  3. Step 3: Cross multiply
    7,072.74x = 10,609.17 × 2,142.77
  4. Step 4: Simplify right side
    7,072.74x = 22,732,950.12
  5. Step 5: Solve for x
    x = 22,732,950.12/7,072.74
  6. Step 6: Final answer
    x = 3,214.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.