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Finding the Fourth Proportional to 23,638, 32,620 and 13,028.64

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Solution

The fourth proportional to 23,638, 32,620 and 13,028.64 is: 17,979.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,638 : 32,620 = 13,028.64 : x
  2. Step 2: Convert to fraction form
    23,638/32,620 = 13,028.64/x
  3. Step 3: Cross multiply
    23,638x = 32,620 × 13,028.64
  4. Step 4: Simplify right side
    23,638x = 424,994,236.80
  5. Step 5: Solve for x
    x = 424,994,236.80/23,638
  6. Step 6: Final answer
    x = 17,979.28

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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.