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Finding the Fourth Proportional to 38,537, 53,181.06 and 20,873

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Solution

The fourth proportional to 38,537, 53,181.06 and 20,873 is: 28,804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,537 : 53,181.06 = 20,873 : x
  2. Step 2: Convert to fraction form
    38,537/53,181.06 = 20,873/x
  3. Step 3: Cross multiply
    38,537x = 53,181.06 × 20,873
  4. Step 4: Simplify right side
    38,537x = 1,110,048,265.38
  5. Step 5: Solve for x
    x = 1,110,048,265.38/38,537
  6. Step 6: Final answer
    x = 28,804.74

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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.