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Finding the Fourth Proportional to 5,318.02, 7,978 and 1,619.83

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Solution

The fourth proportional to 5,318.02, 7,978 and 1,619.83 is: 2,430.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.02 : 7,978 = 1,619.83 : x
  2. Step 2: Convert to fraction form
    5,318.02/7,978 = 1,619.83/x
  3. Step 3: Cross multiply
    5,318.02x = 7,978 × 1,619.83
  4. Step 4: Simplify right side
    5,318.02x = 12,923,003.74
  5. Step 5: Solve for x
    x = 12,923,003.74/5,318.02
  6. Step 6: Final answer
    x = 2,430.04

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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.