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Finding the Fourth Proportional to 28,417, 42,625.50 and 8,961

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Solution

The fourth proportional to 28,417, 42,625.50 and 8,961 is: 13,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,417 : 42,625.50 = 8,961 : x
  2. Step 2: Convert to fraction form
    28,417/42,625.50 = 8,961/x
  3. Step 3: Cross multiply
    28,417x = 42,625.50 × 8,961
  4. Step 4: Simplify right side
    28,417x = 381,967,105.50
  5. Step 5: Solve for x
    x = 381,967,105.50/28,417
  6. Step 6: Final answer
    x = 13,441.50

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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.