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Finding the Fourth Proportional to 7,134.68, 10,705.68 and 3,238.64

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Solution

The fourth proportional to 7,134.68, 10,705.68 and 3,238.64 is: 4,859.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.68 : 10,705.68 = 3,238.64 : x
  2. Step 2: Convert to fraction form
    7,134.68/10,705.68 = 3,238.64/x
  3. Step 3: Cross multiply
    7,134.68x = 10,705.68 × 3,238.64
  4. Step 4: Simplify right side
    7,134.68x = 34,671,843.48
  5. Step 5: Solve for x
    x = 34,671,843.48/7,134.68
  6. Step 6: Final answer
    x = 4,859.62

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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.