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Finding the Fourth Proportional to 19,577.40, 27,007.58 and 11,189

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Solution

The fourth proportional to 19,577.40, 27,007.58 and 11,189 is: 15,435.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,577.40 : 27,007.58 = 11,189 : x
  2. Step 2: Convert to fraction form
    19,577.40/27,007.58 = 11,189/x
  3. Step 3: Cross multiply
    19,577.40x = 27,007.58 × 11,189
  4. Step 4: Simplify right side
    19,577.40x = 302,187,812.62
  5. Step 5: Solve for x
    x = 302,187,812.62/19,577.40
  6. Step 6: Final answer
    x = 15,435.54

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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.