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Finding the Fourth Proportional to 19,868, 27,417.84 and 11,036

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Solution

The fourth proportional to 19,868, 27,417.84 and 11,036 is: 15,229.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,868 : 27,417.84 = 11,036 : x
  2. Step 2: Convert to fraction form
    19,868/27,417.84 = 11,036/x
  3. Step 3: Cross multiply
    19,868x = 27,417.84 × 11,036
  4. Step 4: Simplify right side
    19,868x = 302,583,282.24
  5. Step 5: Solve for x
    x = 302,583,282.24/19,868
  6. Step 6: Final answer
    x = 15,229.68

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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.