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Finding the Fourth Proportional to 19,643.11, 27,106.04 and 11,683.85

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Solution

The fourth proportional to 19,643.11, 27,106.04 and 11,683.85 is: 16,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,643.11 : 27,106.04 = 11,683.85 : x
  2. Step 2: Convert to fraction form
    19,643.11/27,106.04 = 11,683.85/x
  3. Step 3: Cross multiply
    19,643.11x = 27,106.04 × 11,683.85
  4. Step 4: Simplify right side
    19,643.11x = 316,702,799.13
  5. Step 5: Solve for x
    x = 316,702,799.13/19,643.11
  6. Step 6: Final answer
    x = 16,122.85

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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.