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Finding the Fourth Proportional to 25,340, 38,010.72 and 6,872

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Solution

The fourth proportional to 25,340, 38,010.72 and 6,872 is: 10,308.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,340 : 38,010.72 = 6,872 : x
  2. Step 2: Convert to fraction form
    25,340/38,010.72 = 6,872/x
  3. Step 3: Cross multiply
    25,340x = 38,010.72 × 6,872
  4. Step 4: Simplify right side
    25,340x = 261,209,667.84
  5. Step 5: Solve for x
    x = 261,209,667.84/25,340
  6. Step 6: Final answer
    x = 10,308.20

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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.