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Finding the Fourth Proportional to 3,200.52, 4,805.99 and 1,975.72

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Solution

The fourth proportional to 3,200.52, 4,805.99 and 1,975.72 is: 2,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.52 : 4,805.99 = 1,975.72 : x
  2. Step 2: Convert to fraction form
    3,200.52/4,805.99 = 1,975.72/x
  3. Step 3: Cross multiply
    3,200.52x = 4,805.99 × 1,975.72
  4. Step 4: Simplify right side
    3,200.52x = 9,495,290.56
  5. Step 5: Solve for x
    x = 9,495,290.56/3,200.52
  6. Step 6: Final answer
    x = 2,966.80

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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.