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Finding the Fourth Proportional to 2,914.88, 4,370.28 and 1,684.68

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Solution

The fourth proportional to 2,914.88, 4,370.28 and 1,684.68 is: 2,525.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.88 : 4,370.28 = 1,684.68 : x
  2. Step 2: Convert to fraction form
    2,914.88/4,370.28 = 1,684.68/x
  3. Step 3: Cross multiply
    2,914.88x = 4,370.28 × 1,684.68
  4. Step 4: Simplify right side
    2,914.88x = 7,362,523.31
  5. Step 5: Solve for x
    x = 7,362,523.31/2,914.88
  6. Step 6: Final answer
    x = 2,525.85

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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.