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Finding the Fourth Proportional to 19,821.10, 27,353.04 and 10,869.17

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Solution

The fourth proportional to 19,821.10, 27,353.04 and 10,869.17 is: 14,999.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,821.10 : 27,353.04 = 10,869.17 : x
  2. Step 2: Convert to fraction form
    19,821.10/27,353.04 = 10,869.17/x
  3. Step 3: Cross multiply
    19,821.10x = 27,353.04 × 10,869.17
  4. Step 4: Simplify right side
    19,821.10x = 297,304,787.43
  5. Step 5: Solve for x
    x = 297,304,787.43/19,821.10
  6. Step 6: Final answer
    x = 14,999.41

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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.