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Finding the Fourth Proportional to 28,464, 42,696 and 9,008

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Solution

The fourth proportional to 28,464, 42,696 and 9,008 is: 13,512

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,464 : 42,696 = 9,008 : x
  2. Step 2: Convert to fraction form
    28,464/42,696 = 9,008/x
  3. Step 3: Cross multiply
    28,464x = 42,696 × 9,008
  4. Step 4: Simplify right side
    28,464x = 384,605,568
  5. Step 5: Solve for x
    x = 384,605,568/28,464
  6. Step 6: Final answer
    x = 13,512

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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.