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Finding the Fourth Proportional to 13,928.06, 20,893.92 and 7,354.50

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Solution

The fourth proportional to 13,928.06, 20,893.92 and 7,354.50 is: 11,032.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,928.06 : 20,893.92 = 7,354.50 : x
  2. Step 2: Convert to fraction form
    13,928.06/20,893.92 = 7,354.50/x
  3. Step 3: Cross multiply
    13,928.06x = 20,893.92 × 7,354.50
  4. Step 4: Simplify right side
    13,928.06x = 153,664,334.64
  5. Step 5: Solve for x
    x = 153,664,334.64/13,928.06
  6. Step 6: Final answer
    x = 11,032.72

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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.