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Finding the Fourth Proportional to 13,872.75, 19,144.40 and 8,913.39

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Solution

The fourth proportional to 13,872.75, 19,144.40 and 8,913.39 is: 12,300.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.75 : 19,144.40 = 8,913.39 : x
  2. Step 2: Convert to fraction form
    13,872.75/19,144.40 = 8,913.39/x
  3. Step 3: Cross multiply
    13,872.75x = 19,144.40 × 8,913.39
  4. Step 4: Simplify right side
    13,872.75x = 170,641,458.95
  5. Step 5: Solve for x
    x = 170,641,458.95/13,872.75
  6. Step 6: Final answer
    x = 12,300.48

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1.5x scale

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.