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Finding the Fourth Proportional to 38,426, 53,027.88 and 20,762

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Solution

The fourth proportional to 38,426, 53,027.88 and 20,762 is: 28,651.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,426 : 53,027.88 = 20,762 : x
  2. Step 2: Convert to fraction form
    38,426/53,027.88 = 20,762/x
  3. Step 3: Cross multiply
    38,426x = 53,027.88 × 20,762
  4. Step 4: Simplify right side
    38,426x = 1,100,964,844.56
  5. Step 5: Solve for x
    x = 1,100,964,844.56/38,426
  6. Step 6: Final answer
    x = 28,651.56

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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.