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Finding the Fourth Proportional to 14,072.57, 19,420.20 and 9,036.83

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Solution

The fourth proportional to 14,072.57, 19,420.20 and 9,036.83 is: 12,470.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,072.57 : 19,420.20 = 9,036.83 : x
  2. Step 2: Convert to fraction form
    14,072.57/19,420.20 = 9,036.83/x
  3. Step 3: Cross multiply
    14,072.57x = 19,420.20 × 9,036.83
  4. Step 4: Simplify right side
    14,072.57x = 175,497,107.22
  5. Step 5: Solve for x
    x = 175,497,107.22/14,072.57
  6. Step 6: Final answer
    x = 12,470.86

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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.