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Finding the Fourth Proportional to 5,318.73, 7,977.95 and 1,620.80

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Solution

The fourth proportional to 5,318.73, 7,977.95 and 1,620.80 is: 2,431.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.73 : 7,977.95 = 1,620.80 : x
  2. Step 2: Convert to fraction form
    5,318.73/7,977.95 = 1,620.80/x
  3. Step 3: Cross multiply
    5,318.73x = 7,977.95 × 1,620.80
  4. Step 4: Simplify right side
    5,318.73x = 12,930,661.36
  5. Step 5: Solve for x
    x = 12,930,661.36/5,318.73
  6. Step 6: Final answer
    x = 2,431.16

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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.