Home / 2,066.16-3,098.45-749.64

Finding the Fourth Proportional to 2,066.16, 3,098.45 and 749.64

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Solution

The fourth proportional to 2,066.16, 3,098.45 and 749.64 is: 1,124.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.16 : 3,098.45 = 749.64 : x
  2. Step 2: Convert to fraction form
    2,066.16/3,098.45 = 749.64/x
  3. Step 3: Cross multiply
    2,066.16x = 3,098.45 × 749.64
  4. Step 4: Simplify right side
    2,066.16x = 2,322,718.31
  5. Step 5: Solve for x
    x = 2,322,718.31/2,066.16
  6. Step 6: Final answer
    x = 1,124.17

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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.