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Finding the Fourth Proportional to 13,925.88, 20,889 and 3,537.72

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Solution

The fourth proportional to 13,925.88, 20,889 and 3,537.72 is: 5,306.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,925.88 : 20,889 = 3,537.72 : x
  2. Step 2: Convert to fraction form
    13,925.88/20,889 = 3,537.72/x
  3. Step 3: Cross multiply
    13,925.88x = 20,889 × 3,537.72
  4. Step 4: Simplify right side
    13,925.88x = 73,899,433.08
  5. Step 5: Solve for x
    x = 73,899,433.08/13,925.88
  6. Step 6: Final answer
    x = 5,306.63

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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.