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Finding the Fourth Proportional to 19,218, 26,520.96 and 11,766

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Solution

The fourth proportional to 19,218, 26,520.96 and 11,766 is: 16,237.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,218 : 26,520.96 = 11,766 : x
  2. Step 2: Convert to fraction form
    19,218/26,520.96 = 11,766/x
  3. Step 3: Cross multiply
    19,218x = 26,520.96 × 11,766
  4. Step 4: Simplify right side
    19,218x = 312,045,615.36
  5. Step 5: Solve for x
    x = 312,045,615.36/19,218
  6. Step 6: Final answer
    x = 16,237.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.