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Finding the Fourth Proportional to 8,272, 11,415.40 and 4,546

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Solution

The fourth proportional to 8,272, 11,415.40 and 4,546 is: 6,273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272 : 11,415.40 = 4,546 : x
  2. Step 2: Convert to fraction form
    8,272/11,415.40 = 4,546/x
  3. Step 3: Cross multiply
    8,272x = 11,415.40 × 4,546
  4. Step 4: Simplify right side
    8,272x = 51,894,408.40
  5. Step 5: Solve for x
    x = 51,894,408.40/8,272
  6. Step 6: Final answer
    x = 6,273.50

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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.