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Finding the Fourth Proportional to 38,980.36, 53,794.74 and 22,213

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Solution

The fourth proportional to 38,980.36, 53,794.74 and 22,213 is: 30,654.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,980.36 : 53,794.74 = 22,213 : x
  2. Step 2: Convert to fraction form
    38,980.36/53,794.74 = 22,213/x
  3. Step 3: Cross multiply
    38,980.36x = 53,794.74 × 22,213
  4. Step 4: Simplify right side
    38,980.36x = 1,194,942,559.62
  5. Step 5: Solve for x
    x = 1,194,942,559.62/38,980.36
  6. Step 6: Final answer
    x = 30,654.99

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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.