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Finding the Fourth Proportional to 4,608.90, 6,914.43 and 1,321.92

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Solution

The fourth proportional to 4,608.90, 6,914.43 and 1,321.92 is: 1,983.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.90 : 6,914.43 = 1,321.92 : x
  2. Step 2: Convert to fraction form
    4,608.90/6,914.43 = 1,321.92/x
  3. Step 3: Cross multiply
    4,608.90x = 6,914.43 × 1,321.92
  4. Step 4: Simplify right side
    4,608.90x = 9,140,323.31
  5. Step 5: Solve for x
    x = 9,140,323.31/4,608.90
  6. Step 6: Final answer
    x = 1,983.19

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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.