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Finding the Fourth Proportional to 13,313.66, 19,972.38 and 7,072.04

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Solution

The fourth proportional to 13,313.66, 19,972.38 and 7,072.04 is: 10,609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,313.66 : 19,972.38 = 7,072.04 : x
  2. Step 2: Convert to fraction form
    13,313.66/19,972.38 = 7,072.04/x
  3. Step 3: Cross multiply
    13,313.66x = 19,972.38 × 7,072.04
  4. Step 4: Simplify right side
    13,313.66x = 141,245,470.26
  5. Step 5: Solve for x
    x = 141,245,470.26/13,313.66
  6. Step 6: Final answer
    x = 10,609.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.