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Finding the Fourth Proportional to 21,083.68, 29,097.12 and 11,653.12

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Solution

The fourth proportional to 21,083.68, 29,097.12 and 11,653.12 is: 16,082.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,083.68 : 29,097.12 = 11,653.12 : x
  2. Step 2: Convert to fraction form
    21,083.68/29,097.12 = 11,653.12/x
  3. Step 3: Cross multiply
    21,083.68x = 29,097.12 × 11,653.12
  4. Step 4: Simplify right side
    21,083.68x = 339,072,231.01
  5. Step 5: Solve for x
    x = 339,072,231.01/21,083.68
  6. Step 6: Final answer
    x = 16,082.21

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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.