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Finding the Fourth Proportional to 25,873, 38,809.86 and 7,405

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Solution

The fourth proportional to 25,873, 38,809.86 and 7,405 is: 11,107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,873 : 38,809.86 = 7,405 : x
  2. Step 2: Convert to fraction form
    25,873/38,809.86 = 7,405/x
  3. Step 3: Cross multiply
    25,873x = 38,809.86 × 7,405
  4. Step 4: Simplify right side
    25,873x = 287,387,013.30
  5. Step 5: Solve for x
    x = 287,387,013.30/25,873
  6. Step 6: Final answer
    x = 11,107.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.