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Finding the Fourth Proportional to 21,546, 32,319 and 6,954

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Solution

The fourth proportional to 21,546, 32,319 and 6,954 is: 10,431

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,546 : 32,319 = 6,954 : x
  2. Step 2: Convert to fraction form
    21,546/32,319 = 6,954/x
  3. Step 3: Cross multiply
    21,546x = 32,319 × 6,954
  4. Step 4: Simplify right side
    21,546x = 224,746,326
  5. Step 5: Solve for x
    x = 224,746,326/21,546
  6. Step 6: Final answer
    x = 10,431

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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.