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Finding the Fourth Proportional to 19,490.80, 26,879.64 and 12,774

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Solution

The fourth proportional to 19,490.80, 26,879.64 and 12,774 is: 17,616.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,490.80 : 26,879.64 = 12,774 : x
  2. Step 2: Convert to fraction form
    19,490.80/26,879.64 = 12,774/x
  3. Step 3: Cross multiply
    19,490.80x = 26,879.64 × 12,774
  4. Step 4: Simplify right side
    19,490.80x = 343,360,521.36
  5. Step 5: Solve for x
    x = 343,360,521.36/19,490.80
  6. Step 6: Final answer
    x = 17,616.54

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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.