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Finding the Fourth Proportional to 38,973, 53,782.80 and 22,206

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Solution

The fourth proportional to 38,973, 53,782.80 and 22,206 is: 30,644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,973 : 53,782.80 = 22,206 : x
  2. Step 2: Convert to fraction form
    38,973/53,782.80 = 22,206/x
  3. Step 3: Cross multiply
    38,973x = 53,782.80 × 22,206
  4. Step 4: Simplify right side
    38,973x = 1,194,300,856.80
  5. Step 5: Solve for x
    x = 1,194,300,856.80/38,973
  6. Step 6: Final answer
    x = 30,644.31

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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.