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Finding the Fourth Proportional to 13,720, 18,933.98 and 7,751.54

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Solution

The fourth proportional to 13,720, 18,933.98 and 7,751.54 is: 10,697.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,720 : 18,933.98 = 7,751.54 : x
  2. Step 2: Convert to fraction form
    13,720/18,933.98 = 7,751.54/x
  3. Step 3: Cross multiply
    13,720x = 18,933.98 × 7,751.54
  4. Step 4: Simplify right side
    13,720x = 146,767,464.57
  5. Step 5: Solve for x
    x = 146,767,464.57/13,720
  6. Step 6: Final answer
    x = 10,697.34

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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.