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Finding the Fourth Proportional to 2,149, 2,964 and 1,486.96

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Solution

The fourth proportional to 2,149, 2,964 and 1,486.96 is: 2,050.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149 : 2,964 = 1,486.96 : x
  2. Step 2: Convert to fraction form
    2,149/2,964 = 1,486.96/x
  3. Step 3: Cross multiply
    2,149x = 2,964 × 1,486.96
  4. Step 4: Simplify right side
    2,149x = 4,407,349.44
  5. Step 5: Solve for x
    x = 4,407,349.44/2,149
  6. Step 6: Final answer
    x = 2,050.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.