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Finding the Fourth Proportional to 20,993.76, 28,961.28 and 13,045.32

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Solution

The fourth proportional to 20,993.76, 28,961.28 and 13,045.32 is: 17,996.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,993.76 : 28,961.28 = 13,045.32 : x
  2. Step 2: Convert to fraction form
    20,993.76/28,961.28 = 13,045.32/x
  3. Step 3: Cross multiply
    20,993.76x = 28,961.28 × 13,045.32
  4. Step 4: Simplify right side
    20,993.76x = 377,809,165.21
  5. Step 5: Solve for x
    x = 377,809,165.21/20,993.76
  6. Step 6: Final answer
    x = 17,996.26

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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.