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Finding the Fourth Proportional to 12,686, 19,029.06 and 4,478

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Solution

The fourth proportional to 12,686, 19,029.06 and 4,478 is: 6,717.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686 : 19,029.06 = 4,478 : x
  2. Step 2: Convert to fraction form
    12,686/19,029.06 = 4,478/x
  3. Step 3: Cross multiply
    12,686x = 19,029.06 × 4,478
  4. Step 4: Simplify right side
    12,686x = 85,212,130.68
  5. Step 5: Solve for x
    x = 85,212,130.68/12,686
  6. Step 6: Final answer
    x = 6,717.02

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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.