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Finding the Fourth Proportional to 12,285.10, 18,424 and 4,492.09

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Solution

The fourth proportional to 12,285.10, 18,424 and 4,492.09 is: 6,736.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285.10 : 18,424 = 4,492.09 : x
  2. Step 2: Convert to fraction form
    12,285.10/18,424 = 4,492.09/x
  3. Step 3: Cross multiply
    12,285.10x = 18,424 × 4,492.09
  4. Step 4: Simplify right side
    12,285.10x = 82,762,266.16
  5. Step 5: Solve for x
    x = 82,762,266.16/12,285.10
  6. Step 6: Final answer
    x = 6,736.80

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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.