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Finding the Fourth Proportional to 12,883.50, 17,779.25 and 7,295.58

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Solution

The fourth proportional to 12,883.50, 17,779.25 and 7,295.58 is: 10,067.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.50 : 17,779.25 = 7,295.58 : x
  2. Step 2: Convert to fraction form
    12,883.50/17,779.25 = 7,295.58/x
  3. Step 3: Cross multiply
    12,883.50x = 17,779.25 × 7,295.58
  4. Step 4: Simplify right side
    12,883.50x = 129,709,940.72
  5. Step 5: Solve for x
    x = 129,709,940.72/12,883.50
  6. Step 6: Final answer
    x = 10,067.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.