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Finding the Fourth Proportional to 18,648.64, 25,735.20 and 10,265.44

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Solution

The fourth proportional to 18,648.64, 25,735.20 and 10,265.44 is: 14,166.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,648.64 : 25,735.20 = 10,265.44 : x
  2. Step 2: Convert to fraction form
    18,648.64/25,735.20 = 10,265.44/x
  3. Step 3: Cross multiply
    18,648.64x = 25,735.20 × 10,265.44
  4. Step 4: Simplify right side
    18,648.64x = 264,183,151.49
  5. Step 5: Solve for x
    x = 264,183,151.49/18,648.64
  6. Step 6: Final answer
    x = 14,166.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.