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Finding the Fourth Proportional to 13,143.78, 18,138.54 and 8,106.84

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Solution

The fourth proportional to 13,143.78, 18,138.54 and 8,106.84 is: 11,187.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143.78 : 18,138.54 = 8,106.84 : x
  2. Step 2: Convert to fraction form
    13,143.78/18,138.54 = 8,106.84/x
  3. Step 3: Cross multiply
    13,143.78x = 18,138.54 × 8,106.84
  4. Step 4: Simplify right side
    13,143.78x = 147,046,241.61
  5. Step 5: Solve for x
    x = 147,046,241.61/13,143.78
  6. Step 6: Final answer
    x = 11,187.52

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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.