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Finding the Fourth Proportional to 2,920, 4,379.84 and 1,190.08

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Solution

The fourth proportional to 2,920, 4,379.84 and 1,190.08 is: 1,785.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920 : 4,379.84 = 1,190.08 : x
  2. Step 2: Convert to fraction form
    2,920/4,379.84 = 1,190.08/x
  3. Step 3: Cross multiply
    2,920x = 4,379.84 × 1,190.08
  4. Step 4: Simplify right side
    2,920x = 5,212,359.99
  5. Step 5: Solve for x
    x = 5,212,359.99/2,920
  6. Step 6: Final answer
    x = 1,785.05

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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.