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Finding the Fourth Proportional to 38,843.04, 53,599.68 and 21,846

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Solution

The fourth proportional to 38,843.04, 53,599.68 and 21,846 is: 30,145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,843.04 : 53,599.68 = 21,846 : x
  2. Step 2: Convert to fraction form
    38,843.04/53,599.68 = 21,846/x
  3. Step 3: Cross multiply
    38,843.04x = 53,599.68 × 21,846
  4. Step 4: Simplify right side
    38,843.04x = 1,170,938,609.28
  5. Step 5: Solve for x
    x = 1,170,938,609.28/38,843.04
  6. Step 6: Final answer
    x = 30,145.39

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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.