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Finding the Fourth Proportional to 38,425, 53,026.50 and 20,761

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Solution

The fourth proportional to 38,425, 53,026.50 and 20,761 is: 28,650.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,425 : 53,026.50 = 20,761 : x
  2. Step 2: Convert to fraction form
    38,425/53,026.50 = 20,761/x
  3. Step 3: Cross multiply
    38,425x = 53,026.50 × 20,761
  4. Step 4: Simplify right side
    38,425x = 1,100,883,166.50
  5. Step 5: Solve for x
    x = 1,100,883,166.50/38,425
  6. Step 6: Final answer
    x = 28,650.18

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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.