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Finding the Fourth Proportional to 2,149, 3,217.38 and 1,416.34

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Solution

The fourth proportional to 2,149, 3,217.38 and 1,416.34 is: 2,120.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149 : 3,217.38 = 1,416.34 : x
  2. Step 2: Convert to fraction form
    2,149/3,217.38 = 1,416.34/x
  3. Step 3: Cross multiply
    2,149x = 3,217.38 × 1,416.34
  4. Step 4: Simplify right side
    2,149x = 4,556,903.99
  5. Step 5: Solve for x
    x = 4,556,903.99/2,149
  6. Step 6: Final answer
    x = 2,120.48

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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.