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Finding the Fourth Proportional to 13,698.98, 20,549.39 and 4,813.23

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Solution

The fourth proportional to 13,698.98, 20,549.39 and 4,813.23 is: 7,220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.98 : 20,549.39 = 4,813.23 : x
  2. Step 2: Convert to fraction form
    13,698.98/20,549.39 = 4,813.23/x
  3. Step 3: Cross multiply
    13,698.98x = 20,549.39 × 4,813.23
  4. Step 4: Simplify right side
    13,698.98x = 98,908,940.43
  5. Step 5: Solve for x
    x = 98,908,940.43/13,698.98
  6. Step 6: Final answer
    x = 7,220.17

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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.