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Finding the Fourth Proportional to 38,875.08, 53,638.08 and 21,876

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Solution

The fourth proportional to 38,875.08, 53,638.08 and 21,876 is: 30,183.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,875.08 : 53,638.08 = 21,876 : x
  2. Step 2: Convert to fraction form
    38,875.08/53,638.08 = 21,876/x
  3. Step 3: Cross multiply
    38,875.08x = 53,638.08 × 21,876
  4. Step 4: Simplify right side
    38,875.08x = 1,173,386,638.08
  5. Step 5: Solve for x
    x = 1,173,386,638.08/38,875.08
  6. Step 6: Final answer
    x = 30,183.52

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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.