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Finding the Fourth Proportional to 7,282.48, 10,920.48 and 3,388

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Solution

The fourth proportional to 7,282.48, 10,920.48 and 3,388 is: 5,080.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.48 : 10,920.48 = 3,388 : x
  2. Step 2: Convert to fraction form
    7,282.48/10,920.48 = 3,388/x
  3. Step 3: Cross multiply
    7,282.48x = 10,920.48 × 3,388
  4. Step 4: Simplify right side
    7,282.48x = 36,998,586.24
  5. Step 5: Solve for x
    x = 36,998,586.24/7,282.48
  6. Step 6: Final answer
    x = 5,080.49

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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.