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Finding the Fourth Proportional to 7,102, 10,658.46 and 3,209.14

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Solution

The fourth proportional to 7,102, 10,658.46 and 3,209.14 is: 4,816.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102 : 10,658.46 = 3,209.14 : x
  2. Step 2: Convert to fraction form
    7,102/10,658.46 = 3,209.14/x
  3. Step 3: Cross multiply
    7,102x = 10,658.46 × 3,209.14
  4. Step 4: Simplify right side
    7,102x = 34,204,490.32
  5. Step 5: Solve for x
    x = 34,204,490.32/7,102
  6. Step 6: Final answer
    x = 4,816.18

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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.