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Finding the Fourth Proportional to 19,123.67, 28,665 and 9,249.37

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Solution

The fourth proportional to 19,123.67, 28,665 and 9,249.37 is: 13,864.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,123.67 : 28,665 = 9,249.37 : x
  2. Step 2: Convert to fraction form
    19,123.67/28,665 = 9,249.37/x
  3. Step 3: Cross multiply
    19,123.67x = 28,665 × 9,249.37
  4. Step 4: Simplify right side
    19,123.67x = 265,133,191.05
  5. Step 5: Solve for x
    x = 265,133,191.05/19,123.67
  6. Step 6: Final answer
    x = 13,864.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.