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Finding the Fourth Proportional to 5,318.51, 7,978.92 and 1,620.64

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Solution

The fourth proportional to 5,318.51, 7,978.92 and 1,620.64 is: 2,431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.51 : 7,978.92 = 1,620.64 : x
  2. Step 2: Convert to fraction form
    5,318.51/7,978.92 = 1,620.64/x
  3. Step 3: Cross multiply
    5,318.51x = 7,978.92 × 1,620.64
  4. Step 4: Simplify right side
    5,318.51x = 12,930,956.51
  5. Step 5: Solve for x
    x = 12,930,956.51/5,318.51
  6. Step 6: Final answer
    x = 2,431.31

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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.