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Finding the Fourth Proportional to 13,768.64, 20,653.76 and 5,004.48

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Solution

The fourth proportional to 13,768.64, 20,653.76 and 5,004.48 is: 7,507.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.64 : 20,653.76 = 5,004.48 : x
  2. Step 2: Convert to fraction form
    13,768.64/20,653.76 = 5,004.48/x
  3. Step 3: Cross multiply
    13,768.64x = 20,653.76 × 5,004.48
  4. Step 4: Simplify right side
    13,768.64x = 103,361,328.84
  5. Step 5: Solve for x
    x = 103,361,328.84/13,768.64
  6. Step 6: Final answer
    x = 7,507.01

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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.