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Finding the Fourth Proportional to 19,574.40, 27,003.44 and 11,186

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Solution

The fourth proportional to 19,574.40, 27,003.44 and 11,186 is: 15,431.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,574.40 : 27,003.44 = 11,186 : x
  2. Step 2: Convert to fraction form
    19,574.40/27,003.44 = 11,186/x
  3. Step 3: Cross multiply
    19,574.40x = 27,003.44 × 11,186
  4. Step 4: Simplify right side
    19,574.40x = 302,060,479.84
  5. Step 5: Solve for x
    x = 302,060,479.84/19,574.40
  6. Step 6: Final answer
    x = 15,431.40

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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.