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Finding the Fourth Proportional to 12,384.84, 18,579.48 and 4,065.24

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Solution

The fourth proportional to 12,384.84, 18,579.48 and 4,065.24 is: 6,098.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.84 : 18,579.48 = 4,065.24 : x
  2. Step 2: Convert to fraction form
    12,384.84/18,579.48 = 4,065.24/x
  3. Step 3: Cross multiply
    12,384.84x = 18,579.48 × 4,065.24
  4. Step 4: Simplify right side
    12,384.84x = 75,530,045.28
  5. Step 5: Solve for x
    x = 75,530,045.28/12,384.84
  6. Step 6: Final answer
    x = 6,098.59

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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.