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Finding the Fourth Proportional to 38,560, 53,220.09 and 21,793

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Solution

The fourth proportional to 38,560, 53,220.09 and 21,793 is: 30,078.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,560 : 53,220.09 = 21,793 : x
  2. Step 2: Convert to fraction form
    38,560/53,220.09 = 21,793/x
  3. Step 3: Cross multiply
    38,560x = 53,220.09 × 21,793
  4. Step 4: Simplify right side
    38,560x = 1,159,825,421.37
  5. Step 5: Solve for x
    x = 1,159,825,421.37/38,560
  6. Step 6: Final answer
    x = 30,078.46

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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.