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Finding the Fourth Proportional to 12,480, 18,720 and 3,246

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Solution

The fourth proportional to 12,480, 18,720 and 3,246 is: 4,869

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,480 : 18,720 = 3,246 : x
  2. Step 2: Convert to fraction form
    12,480/18,720 = 3,246/x
  3. Step 3: Cross multiply
    12,480x = 18,720 × 3,246
  4. Step 4: Simplify right side
    12,480x = 60,765,120
  5. Step 5: Solve for x
    x = 60,765,120/12,480
  6. Step 6: Final answer
    x = 4,869

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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.