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Finding the Fourth Proportional to 4,193.56, 6,290.50 and 1,561.73

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Solution

The fourth proportional to 4,193.56, 6,290.50 and 1,561.73 is: 2,342.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.56 : 6,290.50 = 1,561.73 : x
  2. Step 2: Convert to fraction form
    4,193.56/6,290.50 = 1,561.73/x
  3. Step 3: Cross multiply
    4,193.56x = 6,290.50 × 1,561.73
  4. Step 4: Simplify right side
    4,193.56x = 9,824,062.57
  5. Step 5: Solve for x
    x = 9,824,062.57/4,193.56
  6. Step 6: Final answer
    x = 2,342.65

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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.