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Finding the Fourth Proportional to 38,762.20, 53,494.20 and 21,772

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Solution

The fourth proportional to 38,762.20, 53,494.20 and 21,772 is: 30,046.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,762.20 : 53,494.20 = 21,772 : x
  2. Step 2: Convert to fraction form
    38,762.20/53,494.20 = 21,772/x
  3. Step 3: Cross multiply
    38,762.20x = 53,494.20 × 21,772
  4. Step 4: Simplify right side
    38,762.20x = 1,164,675,722.40
  5. Step 5: Solve for x
    x = 1,164,675,722.40/38,762.20
  6. Step 6: Final answer
    x = 30,046.69

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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.