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Finding the Fourth Proportional to 46,656, 69,984 and 13,824

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Solution

The fourth proportional to 46,656, 69,984 and 13,824 is: 20,736

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,656 : 69,984 = 13,824 : x
  2. Step 2: Convert to fraction form
    46,656/69,984 = 13,824/x
  3. Step 3: Cross multiply
    46,656x = 69,984 × 13,824
  4. Step 4: Simplify right side
    46,656x = 967,458,816
  5. Step 5: Solve for x
    x = 967,458,816/46,656
  6. Step 6: Final answer
    x = 20,736

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