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Finding the Fourth Proportional to 20,196, 27,870.48 and 11,364

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Solution

The fourth proportional to 20,196, 27,870.48 and 11,364 is: 15,682.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,196 : 27,870.48 = 11,364 : x
  2. Step 2: Convert to fraction form
    20,196/27,870.48 = 11,364/x
  3. Step 3: Cross multiply
    20,196x = 27,870.48 × 11,364
  4. Step 4: Simplify right side
    20,196x = 316,720,134.72
  5. Step 5: Solve for x
    x = 316,720,134.72/20,196
  6. Step 6: Final answer
    x = 15,682.32

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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.