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Finding the Fourth Proportional to 13,795, 20,705.45 and 7,225.90

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Solution

The fourth proportional to 13,795, 20,705.45 and 7,225.90 is: 10,845.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,795 : 20,705.45 = 7,225.90 : x
  2. Step 2: Convert to fraction form
    13,795/20,705.45 = 7,225.90/x
  3. Step 3: Cross multiply
    13,795x = 20,705.45 × 7,225.90
  4. Step 4: Simplify right side
    13,795x = 149,615,511.16
  5. Step 5: Solve for x
    x = 149,615,511.16/13,795
  6. Step 6: Final answer
    x = 10,845.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.