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Finding the Fourth Proportional to 12,993, 19,457.64 and 12,662.52

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Solution

The fourth proportional to 12,993, 19,457.64 and 12,662.52 is: 18,962.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,993 : 19,457.64 = 12,662.52 : x
  2. Step 2: Convert to fraction form
    12,993/19,457.64 = 12,662.52/x
  3. Step 3: Cross multiply
    12,993x = 19,457.64 × 12,662.52
  4. Step 4: Simplify right side
    12,993x = 246,382,755.65
  5. Step 5: Solve for x
    x = 246,382,755.65/12,993
  6. Step 6: Final answer
    x = 18,962.73

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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.