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Finding the Fourth Proportional to 19,086, 28,595.64 and 13,246.32

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Solution

The fourth proportional to 19,086, 28,595.64 and 13,246.32 is: 19,846.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,086 : 28,595.64 = 13,246.32 : x
  2. Step 2: Convert to fraction form
    19,086/28,595.64 = 13,246.32/x
  3. Step 3: Cross multiply
    19,086x = 28,595.64 × 13,246.32
  4. Step 4: Simplify right side
    19,086x = 378,786,998.04
  5. Step 5: Solve for x
    x = 378,786,998.04/19,086
  6. Step 6: Final answer
    x = 19,846.33

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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.