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Finding the Fourth Proportional to 39,794.72, 54,916.32 and 21,890

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Solution

The fourth proportional to 39,794.72, 54,916.32 and 21,890 is: 30,207.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,794.72 : 54,916.32 = 21,890 : x
  2. Step 2: Convert to fraction form
    39,794.72/54,916.32 = 21,890/x
  3. Step 3: Cross multiply
    39,794.72x = 54,916.32 × 21,890
  4. Step 4: Simplify right side
    39,794.72x = 1,202,118,244.80
  5. Step 5: Solve for x
    x = 1,202,118,244.80/39,794.72
  6. Step 6: Final answer
    x = 30,207.98

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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.