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Finding the Fourth Proportional to 13,893.93, 20,813.76 and 8,603.82

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Solution

The fourth proportional to 13,893.93, 20,813.76 and 8,603.82 is: 12,888.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,893.93 : 20,813.76 = 8,603.82 : x
  2. Step 2: Convert to fraction form
    13,893.93/20,813.76 = 8,603.82/x
  3. Step 3: Cross multiply
    13,893.93x = 20,813.76 × 8,603.82
  4. Step 4: Simplify right side
    13,893.93x = 179,077,844.56
  5. Step 5: Solve for x
    x = 179,077,844.56/13,893.93
  6. Step 6: Final answer
    x = 12,888.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.