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Finding the Fourth Proportional to 21,048.32, 29,046.78 and 11,617.49

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Solution

The fourth proportional to 21,048.32, 29,046.78 and 11,617.49 is: 16,032.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,048.32 : 29,046.78 = 11,617.49 : x
  2. Step 2: Convert to fraction form
    21,048.32/29,046.78 = 11,617.49/x
  3. Step 3: Cross multiply
    21,048.32x = 29,046.78 × 11,617.49
  4. Step 4: Simplify right side
    21,048.32x = 337,450,676.18
  5. Step 5: Solve for x
    x = 337,450,676.18/21,048.32
  6. Step 6: Final answer
    x = 16,032.19

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