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Finding the Fourth Proportional to 3,354, 4,629 and 2,111.76

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Solution

The fourth proportional to 3,354, 4,629 and 2,111.76 is: 2,914.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354 : 4,629 = 2,111.76 : x
  2. Step 2: Convert to fraction form
    3,354/4,629 = 2,111.76/x
  3. Step 3: Cross multiply
    3,354x = 4,629 × 2,111.76
  4. Step 4: Simplify right side
    3,354x = 9,775,337.04
  5. Step 5: Solve for x
    x = 9,775,337.04/3,354
  6. Step 6: Final answer
    x = 2,914.53

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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.