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Finding the Fourth Proportional to 38,994.78, 53,812.74 and 21,999

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Solution

The fourth proportional to 38,994.78, 53,812.74 and 21,999 is: 30,358.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,994.78 : 53,812.74 = 21,999 : x
  2. Step 2: Convert to fraction form
    38,994.78/53,812.74 = 21,999/x
  3. Step 3: Cross multiply
    38,994.78x = 53,812.74 × 21,999
  4. Step 4: Simplify right side
    38,994.78x = 1,183,826,467.26
  5. Step 5: Solve for x
    x = 1,183,826,467.26/38,994.78
  6. Step 6: Final answer
    x = 30,358.59

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1.5x scale

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.