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Finding the Fourth Proportional to 13,161.48, 19,738.48 and 3,671.64

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Solution

The fourth proportional to 13,161.48, 19,738.48 and 3,671.64 is: 5,506.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,161.48 : 19,738.48 = 3,671.64 : x
  2. Step 2: Convert to fraction form
    13,161.48/19,738.48 = 3,671.64/x
  3. Step 3: Cross multiply
    13,161.48x = 19,738.48 × 3,671.64
  4. Step 4: Simplify right side
    13,161.48x = 72,472,592.71
  5. Step 5: Solve for x
    x = 72,472,592.71/13,161.48
  6. Step 6: Final answer
    x = 5,506.42

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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.