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Finding the Fourth Proportional to 13,865.88, 20,792.64 and 4,002.82

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Solution

The fourth proportional to 13,865.88, 20,792.64 and 4,002.82 is: 6,002.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865.88 : 20,792.64 = 4,002.82 : x
  2. Step 2: Convert to fraction form
    13,865.88/20,792.64 = 4,002.82/x
  3. Step 3: Cross multiply
    13,865.88x = 20,792.64 × 4,002.82
  4. Step 4: Simplify right side
    13,865.88x = 83,229,195.24
  5. Step 5: Solve for x
    x = 83,229,195.24/13,865.88
  6. Step 6: Final answer
    x = 6,002.45

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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.