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Finding the Fourth Proportional to 7,318.24, 10,978.96 and 3,420.52

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Solution

The fourth proportional to 7,318.24, 10,978.96 and 3,420.52 is: 5,131.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,318.24 : 10,978.96 = 3,420.52 : x
  2. Step 2: Convert to fraction form
    7,318.24/10,978.96 = 3,420.52/x
  3. Step 3: Cross multiply
    7,318.24x = 10,978.96 × 3,420.52
  4. Step 4: Simplify right side
    7,318.24x = 37,553,752.26
  5. Step 5: Solve for x
    x = 37,553,752.26/7,318.24
  6. Step 6: Final answer
    x = 5,131.53

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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.