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Finding the Fourth Proportional to 7,089.62, 10,634 and 3,139.73

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Solution

The fourth proportional to 7,089.62, 10,634 and 3,139.73 is: 4,709.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.62 : 10,634 = 3,139.73 : x
  2. Step 2: Convert to fraction form
    7,089.62/10,634 = 3,139.73/x
  3. Step 3: Cross multiply
    7,089.62x = 10,634 × 3,139.73
  4. Step 4: Simplify right side
    7,089.62x = 33,387,835.65
  5. Step 5: Solve for x
    x = 33,387,835.65/7,089.62
  6. Step 6: Final answer
    x = 4,709.40

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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.