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Finding the Fourth Proportional to 7,035.72, 9,709 and 3,849

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Solution

The fourth proportional to 7,035.72, 9,709 and 3,849 is: 5,311.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.72 : 9,709 = 3,849 : x
  2. Step 2: Convert to fraction form
    7,035.72/9,709 = 3,849/x
  3. Step 3: Cross multiply
    7,035.72x = 9,709 × 3,849
  4. Step 4: Simplify right side
    7,035.72x = 37,369,941
  5. Step 5: Solve for x
    x = 37,369,941/7,035.72
  6. Step 6: Final answer
    x = 5,311.46

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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.