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Finding the Fourth Proportional to 4,522.50, 6,783.68 and 1,600.09

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Solution

The fourth proportional to 4,522.50, 6,783.68 and 1,600.09 is: 2,400.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522.50 : 6,783.68 = 1,600.09 : x
  2. Step 2: Convert to fraction form
    4,522.50/6,783.68 = 1,600.09/x
  3. Step 3: Cross multiply
    4,522.50x = 6,783.68 × 1,600.09
  4. Step 4: Simplify right side
    4,522.50x = 10,854,485.57
  5. Step 5: Solve for x
    x = 10,854,485.57/4,522.50
  6. Step 6: Final answer
    x = 2,400.11

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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.