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Finding the Fourth Proportional to 12,439, 18,659.58 and 3,205

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Solution

The fourth proportional to 12,439, 18,659.58 and 3,205 is: 4,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,439 : 18,659.58 = 3,205 : x
  2. Step 2: Convert to fraction form
    12,439/18,659.58 = 3,205/x
  3. Step 3: Cross multiply
    12,439x = 18,659.58 × 3,205
  4. Step 4: Simplify right side
    12,439x = 59,803,953.90
  5. Step 5: Solve for x
    x = 59,803,953.90/12,439
  6. Step 6: Final answer
    x = 4,807.78

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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.