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Finding the Fourth Proportional to 2,620, 3,930.48 and 1,160.40

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Solution

The fourth proportional to 2,620, 3,930.48 and 1,160.40 is: 1,740.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620 : 3,930.48 = 1,160.40 : x
  2. Step 2: Convert to fraction form
    2,620/3,930.48 = 1,160.40/x
  3. Step 3: Cross multiply
    2,620x = 3,930.48 × 1,160.40
  4. Step 4: Simplify right side
    2,620x = 4,560,928.99
  5. Step 5: Solve for x
    x = 4,560,928.99/2,620
  6. Step 6: Final answer
    x = 1,740.81

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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.