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Finding the Fourth Proportional to 12,816, 19,224 and 3,582

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Solution

The fourth proportional to 12,816, 19,224 and 3,582 is: 5,373

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816 : 19,224 = 3,582 : x
  2. Step 2: Convert to fraction form
    12,816/19,224 = 3,582/x
  3. Step 3: Cross multiply
    12,816x = 19,224 × 3,582
  4. Step 4: Simplify right side
    12,816x = 68,860,368
  5. Step 5: Solve for x
    x = 68,860,368/12,816
  6. Step 6: Final answer
    x = 5,373

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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.