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Finding the Fourth Proportional to 23,574, 32,533.68 and 13,638

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Solution

The fourth proportional to 23,574, 32,533.68 and 13,638 is: 18,821.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,574 : 32,533.68 = 13,638 : x
  2. Step 2: Convert to fraction form
    23,574/32,533.68 = 13,638/x
  3. Step 3: Cross multiply
    23,574x = 32,533.68 × 13,638
  4. Step 4: Simplify right side
    23,574x = 443,694,327.84
  5. Step 5: Solve for x
    x = 443,694,327.84/23,574
  6. Step 6: Final answer
    x = 18,821.34

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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.