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Finding the Fourth Proportional to 13,993.17, 19,310.49 and 7,705.50

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Solution

The fourth proportional to 13,993.17, 19,310.49 and 7,705.50 is: 10,633.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.17 : 19,310.49 = 7,705.50 : x
  2. Step 2: Convert to fraction form
    13,993.17/19,310.49 = 7,705.50/x
  3. Step 3: Cross multiply
    13,993.17x = 19,310.49 × 7,705.50
  4. Step 4: Simplify right side
    13,993.17x = 148,796,980.70
  5. Step 5: Solve for x
    x = 148,796,980.70/13,993.17
  6. Step 6: Final answer
    x = 10,633.54

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Why These Related Problems?

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