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Finding the Fourth Proportional to 12,579.84, 18,868.32 and 3,816

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Solution

The fourth proportional to 12,579.84, 18,868.32 and 3,816 is: 5,723.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,579.84 : 18,868.32 = 3,816 : x
  2. Step 2: Convert to fraction form
    12,579.84/18,868.32 = 3,816/x
  3. Step 3: Cross multiply
    12,579.84x = 18,868.32 × 3,816
  4. Step 4: Simplify right side
    12,579.84x = 72,001,509.12
  5. Step 5: Solve for x
    x = 72,001,509.12/12,579.84
  6. Step 6: Final answer
    x = 5,723.56

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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.