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Finding the Fourth Proportional to 13,872, 19,143.44 and 8,904

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Solution

The fourth proportional to 13,872, 19,143.44 and 8,904 is: 12,287.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872 : 19,143.44 = 8,904 : x
  2. Step 2: Convert to fraction form
    13,872/19,143.44 = 8,904/x
  3. Step 3: Cross multiply
    13,872x = 19,143.44 × 8,904
  4. Step 4: Simplify right side
    13,872x = 170,453,189.76
  5. Step 5: Solve for x
    x = 170,453,189.76/13,872
  6. Step 6: Final answer
    x = 12,287.57

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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.