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Finding the Fourth Proportional to 13,873, 19,144.74 and 7,585.36

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Solution

The fourth proportional to 13,873, 19,144.74 and 7,585.36 is: 10,467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873 : 19,144.74 = 7,585.36 : x
  2. Step 2: Convert to fraction form
    13,873/19,144.74 = 7,585.36/x
  3. Step 3: Cross multiply
    13,873x = 19,144.74 × 7,585.36
  4. Step 4: Simplify right side
    13,873x = 145,219,745.01
  5. Step 5: Solve for x
    x = 145,219,745.01/13,873
  6. Step 6: Final answer
    x = 10,467.80

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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.