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Finding the Fourth Proportional to 17,355, 23,953.14 and 9,903

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Solution

The fourth proportional to 17,355, 23,953.14 and 9,903 is: 13,667.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,355 : 23,953.14 = 9,903 : x
  2. Step 2: Convert to fraction form
    17,355/23,953.14 = 9,903/x
  3. Step 3: Cross multiply
    17,355x = 23,953.14 × 9,903
  4. Step 4: Simplify right side
    17,355x = 237,207,945.42
  5. Step 5: Solve for x
    x = 237,207,945.42/17,355
  6. Step 6: Final answer
    x = 13,667.99

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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.