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Finding the Fourth Proportional to 21,427.94, 29,583.70 and 16,969.70

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Solution

The fourth proportional to 21,427.94, 29,583.70 and 16,969.70 is: 23,428.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,427.94 : 29,583.70 = 16,969.70 : x
  2. Step 2: Convert to fraction form
    21,427.94/29,583.70 = 16,969.70/x
  3. Step 3: Cross multiply
    21,427.94x = 29,583.70 × 16,969.70
  4. Step 4: Simplify right side
    21,427.94x = 502,026,513.89
  5. Step 5: Solve for x
    x = 502,026,513.89/21,427.94
  6. Step 6: Final answer
    x = 23,428.59

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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.