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Finding the Fourth Proportional to 3,657.72, 5,486.38 and 1,576.42

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Solution

The fourth proportional to 3,657.72, 5,486.38 and 1,576.42 is: 2,364.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.72 : 5,486.38 = 1,576.42 : x
  2. Step 2: Convert to fraction form
    3,657.72/5,486.38 = 1,576.42/x
  3. Step 3: Cross multiply
    3,657.72x = 5,486.38 × 1,576.42
  4. Step 4: Simplify right side
    3,657.72x = 8,648,839.16
  5. Step 5: Solve for x
    x = 8,648,839.16/3,657.72
  6. Step 6: Final answer
    x = 2,364.54

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1.5x scale

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.