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Finding the Fourth Proportional to 12,417.21, 18,626.72 and 4,626

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Solution

The fourth proportional to 12,417.21, 18,626.72 and 4,626 is: 6,939.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417.21 : 18,626.72 = 4,626 : x
  2. Step 2: Convert to fraction form
    12,417.21/18,626.72 = 4,626/x
  3. Step 3: Cross multiply
    12,417.21x = 18,626.72 × 4,626
  4. Step 4: Simplify right side
    12,417.21x = 86,167,183.59
  5. Step 5: Solve for x
    x = 86,167,183.59/12,417.21
  6. Step 6: Final answer
    x = 6,939.34

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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.