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Finding the Fourth Proportional to 13,868, 19,137.48 and 8,203.04

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Solution

The fourth proportional to 13,868, 19,137.48 and 8,203.04 is: 11,319.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,868 : 19,137.48 = 8,203.04 : x
  2. Step 2: Convert to fraction form
    13,868/19,137.48 = 8,203.04/x
  3. Step 3: Cross multiply
    13,868x = 19,137.48 × 8,203.04
  4. Step 4: Simplify right side
    13,868x = 156,985,513.94
  5. Step 5: Solve for x
    x = 156,985,513.94/13,868
  6. Step 6: Final answer
    x = 11,319.98

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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.