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Finding the Fourth Proportional to 3,491.74, 5,239.32 and 1,642.78

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Solution

The fourth proportional to 3,491.74, 5,239.32 and 1,642.78 is: 2,464.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.74 : 5,239.32 = 1,642.78 : x
  2. Step 2: Convert to fraction form
    3,491.74/5,239.32 = 1,642.78/x
  3. Step 3: Cross multiply
    3,491.74x = 5,239.32 × 1,642.78
  4. Step 4: Simplify right side
    3,491.74x = 8,607,050.11
  5. Step 5: Solve for x
    x = 8,607,050.11/3,491.74
  6. Step 6: Final answer
    x = 2,464.97

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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.