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Finding the Fourth Proportional to 5,290.73, 7,930.49 and 1,956.83

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Solution

The fourth proportional to 5,290.73, 7,930.49 and 1,956.83 is: 2,933.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.73 : 7,930.49 = 1,956.83 : x
  2. Step 2: Convert to fraction form
    5,290.73/7,930.49 = 1,956.83/x
  3. Step 3: Cross multiply
    5,290.73x = 7,930.49 × 1,956.83
  4. Step 4: Simplify right side
    5,290.73x = 15,518,620.75
  5. Step 5: Solve for x
    x = 15,518,620.75/5,290.73
  6. Step 6: Final answer
    x = 2,933.17

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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.