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Finding the Fourth Proportional to 12,878.74, 17,766.39 and 8,400.46

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Solution

The fourth proportional to 12,878.74, 17,766.39 and 8,400.46 is: 11,588.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.74 : 17,766.39 = 8,400.46 : x
  2. Step 2: Convert to fraction form
    12,878.74/17,766.39 = 8,400.46/x
  3. Step 3: Cross multiply
    12,878.74x = 17,766.39 × 8,400.46
  4. Step 4: Simplify right side
    12,878.74x = 149,245,848.54
  5. Step 5: Solve for x
    x = 149,245,848.54/12,878.74
  6. Step 6: Final answer
    x = 11,588.54

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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.