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Finding the Fourth Proportional to 5,321, 7,982.78 and 1,673

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Solution

The fourth proportional to 5,321, 7,982.78 and 1,673 is: 2,509.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321 : 7,982.78 = 1,673 : x
  2. Step 2: Convert to fraction form
    5,321/7,982.78 = 1,673/x
  3. Step 3: Cross multiply
    5,321x = 7,982.78 × 1,673
  4. Step 4: Simplify right side
    5,321x = 13,355,190.94
  5. Step 5: Solve for x
    x = 13,355,190.94/5,321
  6. Step 6: Final answer
    x = 2,509.90

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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.