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Finding the Fourth Proportional to 21,209, 29,268.42 and 13,757

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Solution

The fourth proportional to 21,209, 29,268.42 and 13,757 is: 18,984.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,209 : 29,268.42 = 13,757 : x
  2. Step 2: Convert to fraction form
    21,209/29,268.42 = 13,757/x
  3. Step 3: Cross multiply
    21,209x = 29,268.42 × 13,757
  4. Step 4: Simplify right side
    21,209x = 402,645,653.94
  5. Step 5: Solve for x
    x = 402,645,653.94/21,209
  6. Step 6: Final answer
    x = 18,984.66

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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.