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Finding the Fourth Proportional to 21,424.52, 29,565.84 and 11,993

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Solution

The fourth proportional to 21,424.52, 29,565.84 and 11,993 is: 16,550.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,424.52 : 29,565.84 = 11,993 : x
  2. Step 2: Convert to fraction form
    21,424.52/29,565.84 = 11,993/x
  3. Step 3: Cross multiply
    21,424.52x = 29,565.84 × 11,993
  4. Step 4: Simplify right side
    21,424.52x = 354,583,119.12
  5. Step 5: Solve for x
    x = 354,583,119.12/21,424.52
  6. Step 6: Final answer
    x = 16,550.34

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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.