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Finding the Fourth Proportional to 5,318.24, 7,978.56 and 1,620.80

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Solution

The fourth proportional to 5,318.24, 7,978.56 and 1,620.80 is: 2,431.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.24 : 7,978.56 = 1,620.80 : x
  2. Step 2: Convert to fraction form
    5,318.24/7,978.56 = 1,620.80/x
  3. Step 3: Cross multiply
    5,318.24x = 7,978.56 × 1,620.80
  4. Step 4: Simplify right side
    5,318.24x = 12,931,650.05
  5. Step 5: Solve for x
    x = 12,931,650.05/5,318.24
  6. Step 6: Final answer
    x = 2,431.57

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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.