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Finding the Fourth Proportional to 13,782.92, 20,675.47 and 4,294.07

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Solution

The fourth proportional to 13,782.92, 20,675.47 and 4,294.07 is: 6,441.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.92 : 20,675.47 = 4,294.07 : x
  2. Step 2: Convert to fraction form
    13,782.92/20,675.47 = 4,294.07/x
  3. Step 3: Cross multiply
    13,782.92x = 20,675.47 × 4,294.07
  4. Step 4: Simplify right side
    13,782.92x = 88,781,801.35
  5. Step 5: Solve for x
    x = 88,781,801.35/13,782.92
  6. Step 6: Final answer
    x = 6,441.44

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