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Finding the Fourth Proportional to 20,190, 27,862.20 and 11,358

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Solution

The fourth proportional to 20,190, 27,862.20 and 11,358 is: 15,674.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,190 : 27,862.20 = 11,358 : x
  2. Step 2: Convert to fraction form
    20,190/27,862.20 = 11,358/x
  3. Step 3: Cross multiply
    20,190x = 27,862.20 × 11,358
  4. Step 4: Simplify right side
    20,190x = 316,458,867.60
  5. Step 5: Solve for x
    x = 316,458,867.60/20,190
  6. Step 6: Final answer
    x = 15,674.04

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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.