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Finding the Fourth Proportional to 12,878.99, 17,778.47 and 8,406.57

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Solution

The fourth proportional to 12,878.99, 17,778.47 and 8,406.57 is: 11,604.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.99 : 17,778.47 = 8,406.57 : x
  2. Step 2: Convert to fraction form
    12,878.99/17,778.47 = 8,406.57/x
  3. Step 3: Cross multiply
    12,878.99x = 17,778.47 × 8,406.57
  4. Step 4: Simplify right side
    12,878.99x = 149,455,910.52
  5. Step 5: Solve for x
    x = 149,455,910.52/12,878.99
  6. Step 6: Final answer
    x = 11,604.63

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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.