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Finding the Fourth Proportional to 12,883.53, 17,778.90 and 7,578.66

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Solution

The fourth proportional to 12,883.53, 17,778.90 and 7,578.66 is: 10,458.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.53 : 17,778.90 = 7,578.66 : x
  2. Step 2: Convert to fraction form
    12,883.53/17,778.90 = 7,578.66/x
  3. Step 3: Cross multiply
    12,883.53x = 17,778.90 × 7,578.66
  4. Step 4: Simplify right side
    12,883.53x = 134,740,238.27
  5. Step 5: Solve for x
    x = 134,740,238.27/12,883.53
  6. Step 6: Final answer
    x = 10,458.33

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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.