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Finding the Fourth Proportional to 12,649, 18,973.52 and 3,415

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Solution

The fourth proportional to 12,649, 18,973.52 and 3,415 is: 5,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649 : 18,973.52 = 3,415 : x
  2. Step 2: Convert to fraction form
    12,649/18,973.52 = 3,415/x
  3. Step 3: Cross multiply
    12,649x = 18,973.52 × 3,415
  4. Step 4: Simplify right side
    12,649x = 64,794,570.80
  5. Step 5: Solve for x
    x = 64,794,570.80/12,649
  6. Step 6: Final answer
    x = 5,122.51

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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.