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Finding the Fourth Proportional to 7,188.84, 10,788.12 and 3,493.62

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Solution

The fourth proportional to 7,188.84, 10,788.12 and 3,493.62 is: 5,242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.84 : 10,788.12 = 3,493.62 : x
  2. Step 2: Convert to fraction form
    7,188.84/10,788.12 = 3,493.62/x
  3. Step 3: Cross multiply
    7,188.84x = 10,788.12 × 3,493.62
  4. Step 4: Simplify right side
    7,188.84x = 37,689,591.79
  5. Step 5: Solve for x
    x = 37,689,591.79/7,188.84
  6. Step 6: Final answer
    x = 5,242.79

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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.