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Finding the Fourth Proportional to 13,811.19, 19,059.34 and 7,523.57

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Solution

The fourth proportional to 13,811.19, 19,059.34 and 7,523.57 is: 10,382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.19 : 19,059.34 = 7,523.57 : x
  2. Step 2: Convert to fraction form
    13,811.19/19,059.34 = 7,523.57/x
  3. Step 3: Cross multiply
    13,811.19x = 19,059.34 × 7,523.57
  4. Step 4: Simplify right side
    13,811.19x = 143,394,278.64
  5. Step 5: Solve for x
    x = 143,394,278.64/13,811.19
  6. Step 6: Final answer
    x = 10,382.47

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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.