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Finding the Fourth Proportional to 2,149.84, 3,225.16 and 764

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Solution

The fourth proportional to 2,149.84, 3,225.16 and 764 is: 1,146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.84 : 3,225.16 = 764 : x
  2. Step 2: Convert to fraction form
    2,149.84/3,225.16 = 764/x
  3. Step 3: Cross multiply
    2,149.84x = 3,225.16 × 764
  4. Step 4: Simplify right side
    2,149.84x = 2,464,022.24
  5. Step 5: Solve for x
    x = 2,464,022.24/2,149.84
  6. Step 6: Final answer
    x = 1,146.14

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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.