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Finding the Fourth Proportional to 13,734, 18,933.48 and 9,764.19

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Solution

The fourth proportional to 13,734, 18,933.48 and 9,764.19 is: 13,460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734 : 18,933.48 = 9,764.19 : x
  2. Step 2: Convert to fraction form
    13,734/18,933.48 = 9,764.19/x
  3. Step 3: Cross multiply
    13,734x = 18,933.48 × 9,764.19
  4. Step 4: Simplify right side
    13,734x = 184,870,096.08
  5. Step 5: Solve for x
    x = 184,870,096.08/13,734
  6. Step 6: Final answer
    x = 13,460.76

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1.5x scale

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.