Home / 2,467.20-3,680-2,097.84

Finding the Fourth Proportional to 2,467.20, 3,680 and 2,097.84

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Solution

The fourth proportional to 2,467.20, 3,680 and 2,097.84 is: 3,129.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.20 : 3,680 = 2,097.84 : x
  2. Step 2: Convert to fraction form
    2,467.20/3,680 = 2,097.84/x
  3. Step 3: Cross multiply
    2,467.20x = 3,680 × 2,097.84
  4. Step 4: Simplify right side
    2,467.20x = 7,720,051.20
  5. Step 5: Solve for x
    x = 7,720,051.20/2,467.20
  6. Step 6: Final answer
    x = 3,129.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.