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Finding the Fourth Proportional to 21,728, 29,984.64 and 12,296.59

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Solution

The fourth proportional to 21,728, 29,984.64 and 12,296.59 is: 16,969.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,728 : 29,984.64 = 12,296.59 : x
  2. Step 2: Convert to fraction form
    21,728/29,984.64 = 12,296.59/x
  3. Step 3: Cross multiply
    21,728x = 29,984.64 × 12,296.59
  4. Step 4: Simplify right side
    21,728x = 368,708,824.38
  5. Step 5: Solve for x
    x = 368,708,824.38/21,728
  6. Step 6: Final answer
    x = 16,969.29

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1.5x scale

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.