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Finding the Fourth Proportional to 2,480.04, 3,719.65 and 919.67

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Solution

The fourth proportional to 2,480.04, 3,719.65 and 919.67 is: 1,379.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.04 : 3,719.65 = 919.67 : x
  2. Step 2: Convert to fraction form
    2,480.04/3,719.65 = 919.67/x
  3. Step 3: Cross multiply
    2,480.04x = 3,719.65 × 919.67
  4. Step 4: Simplify right side
    2,480.04x = 3,420,855.19
  5. Step 5: Solve for x
    x = 3,420,855.19/2,480.04
  6. Step 6: Final answer
    x = 1,379.36

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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.