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Finding the Fourth Proportional to 4,321.70, 6,485.07 and 1,822.74

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Solution

The fourth proportional to 4,321.70, 6,485.07 and 1,822.74 is: 2,735.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.70 : 6,485.07 = 1,822.74 : x
  2. Step 2: Convert to fraction form
    4,321.70/6,485.07 = 1,822.74/x
  3. Step 3: Cross multiply
    4,321.70x = 6,485.07 × 1,822.74
  4. Step 4: Simplify right side
    4,321.70x = 11,820,579.01
  5. Step 5: Solve for x
    x = 11,820,579.01/4,321.70
  6. Step 6: Final answer
    x = 2,735.17

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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.