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Finding the Fourth Proportional to 13,903, 19,186.20 and 8,935

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Solution

The fourth proportional to 13,903, 19,186.20 and 8,935 is: 12,330.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,903 : 19,186.20 = 8,935 : x
  2. Step 2: Convert to fraction form
    13,903/19,186.20 = 8,935/x
  3. Step 3: Cross multiply
    13,903x = 19,186.20 × 8,935
  4. Step 4: Simplify right side
    13,903x = 171,428,697
  5. Step 5: Solve for x
    x = 171,428,697/13,903
  6. Step 6: Final answer
    x = 12,330.34

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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.