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Finding the Fourth Proportional to 3,717.72, 5,576.58 and 1,409.22

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Solution

The fourth proportional to 3,717.72, 5,576.58 and 1,409.22 is: 2,113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.72 : 5,576.58 = 1,409.22 : x
  2. Step 2: Convert to fraction form
    3,717.72/5,576.58 = 1,409.22/x
  3. Step 3: Cross multiply
    3,717.72x = 5,576.58 × 1,409.22
  4. Step 4: Simplify right side
    3,717.72x = 7,858,628.07
  5. Step 5: Solve for x
    x = 7,858,628.07/3,717.72
  6. Step 6: Final answer
    x = 2,113.83

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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.