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Finding the Fourth Proportional to 12,876.28, 19,199.09 and 12,643

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Solution

The fourth proportional to 12,876.28, 19,199.09 and 12,643 is: 18,851.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,876.28 : 19,199.09 = 12,643 : x
  2. Step 2: Convert to fraction form
    12,876.28/19,199.09 = 12,643/x
  3. Step 3: Cross multiply
    12,876.28x = 19,199.09 × 12,643
  4. Step 4: Simplify right side
    12,876.28x = 242,734,094.87
  5. Step 5: Solve for x
    x = 242,734,094.87/12,876.28
  6. Step 6: Final answer
    x = 18,851.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.