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Finding the Fourth Proportional to 13,925.44, 20,888 and 3,537.28

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Solution

The fourth proportional to 13,925.44, 20,888 and 3,537.28 is: 5,305.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,925.44 : 20,888 = 3,537.28 : x
  2. Step 2: Convert to fraction form
    13,925.44/20,888 = 3,537.28/x
  3. Step 3: Cross multiply
    13,925.44x = 20,888 × 3,537.28
  4. Step 4: Simplify right side
    13,925.44x = 73,886,704.64
  5. Step 5: Solve for x
    x = 73,886,704.64/13,925.44
  6. Step 6: Final answer
    x = 5,305.88

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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.