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Finding the Fourth Proportional to 2,212.10, 3,317.96 and 751.10

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Solution

The fourth proportional to 2,212.10, 3,317.96 and 751.10 is: 1,126.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.10 : 3,317.96 = 751.10 : x
  2. Step 2: Convert to fraction form
    2,212.10/3,317.96 = 751.10/x
  3. Step 3: Cross multiply
    2,212.10x = 3,317.96 × 751.10
  4. Step 4: Simplify right side
    2,212.10x = 2,492,119.76
  5. Step 5: Solve for x
    x = 2,492,119.76/2,212.10
  6. Step 6: Final answer
    x = 1,126.59

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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.