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Finding the Fourth Proportional to 13,824.85, 19,078.29 and 7,537.23

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Solution

The fourth proportional to 13,824.85, 19,078.29 and 7,537.23 is: 10,401.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824.85 : 19,078.29 = 7,537.23 : x
  2. Step 2: Convert to fraction form
    13,824.85/19,078.29 = 7,537.23/x
  3. Step 3: Cross multiply
    13,824.85x = 19,078.29 × 7,537.23
  4. Step 4: Simplify right side
    13,824.85x = 143,797,459.74
  5. Step 5: Solve for x
    x = 143,797,459.74/13,824.85
  6. Step 6: Final answer
    x = 10,401.38

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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.