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Finding the Fourth Proportional to 12,878.39, 17,764.06 and 10,041.22

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Solution

The fourth proportional to 12,878.39, 17,764.06 and 10,041.22 is: 13,850.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.39 : 17,764.06 = 10,041.22 : x
  2. Step 2: Convert to fraction form
    12,878.39/17,764.06 = 10,041.22/x
  3. Step 3: Cross multiply
    12,878.39x = 17,764.06 × 10,041.22
  4. Step 4: Simplify right side
    12,878.39x = 178,372,750.56
  5. Step 5: Solve for x
    x = 178,372,750.56/12,878.39
  6. Step 6: Final answer
    x = 13,850.54

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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.