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Finding the Fourth Proportional to 13,852.36, 20,774.18 and 4,490.38

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Solution

The fourth proportional to 13,852.36, 20,774.18 and 4,490.38 is: 6,734.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.36 : 20,774.18 = 4,490.38 : x
  2. Step 2: Convert to fraction form
    13,852.36/20,774.18 = 4,490.38/x
  3. Step 3: Cross multiply
    13,852.36x = 20,774.18 × 4,490.38
  4. Step 4: Simplify right side
    13,852.36x = 93,283,921.68
  5. Step 5: Solve for x
    x = 93,283,921.68/13,852.36
  6. Step 6: Final answer
    x = 6,734.15

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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.