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Finding the Fourth Proportional to 12,638, 18,965.64 and 4,430

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Solution

The fourth proportional to 12,638, 18,965.64 and 4,430 is: 6,648.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638 : 18,965.64 = 4,430 : x
  2. Step 2: Convert to fraction form
    12,638/18,965.64 = 4,430/x
  3. Step 3: Cross multiply
    12,638x = 18,965.64 × 4,430
  4. Step 4: Simplify right side
    12,638x = 84,017,785.20
  5. Step 5: Solve for x
    x = 84,017,785.20/12,638
  6. Step 6: Final answer
    x = 6,648.03

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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.