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Finding the Fourth Proportional to 13,902.72, 20,856 and 4,671.36

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Solution

The fourth proportional to 13,902.72, 20,856 and 4,671.36 is: 7,007.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.72 : 20,856 = 4,671.36 : x
  2. Step 2: Convert to fraction form
    13,902.72/20,856 = 4,671.36/x
  3. Step 3: Cross multiply
    13,902.72x = 20,856 × 4,671.36
  4. Step 4: Simplify right side
    13,902.72x = 97,425,884.16
  5. Step 5: Solve for x
    x = 97,425,884.16/13,902.72
  6. Step 6: Final answer
    x = 7,007.69

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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.