Home / 2,066.08-3,097.16-767.20

Finding the Fourth Proportional to 2,066.08, 3,097.16 and 767.20

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Solution

The fourth proportional to 2,066.08, 3,097.16 and 767.20 is: 1,150.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.08 : 3,097.16 = 767.20 : x
  2. Step 2: Convert to fraction form
    2,066.08/3,097.16 = 767.20/x
  3. Step 3: Cross multiply
    2,066.08x = 3,097.16 × 767.20
  4. Step 4: Simplify right side
    2,066.08x = 2,376,141.15
  5. Step 5: Solve for x
    x = 2,376,141.15/2,066.08
  6. Step 6: Final answer
    x = 1,150.07

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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.