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Finding the Fourth Proportional to 20,202, 27,878.88 and 11,370

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Solution

The fourth proportional to 20,202, 27,878.88 and 11,370 is: 15,690.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,202 : 27,878.88 = 11,370 : x
  2. Step 2: Convert to fraction form
    20,202/27,878.88 = 11,370/x
  3. Step 3: Cross multiply
    20,202x = 27,878.88 × 11,370
  4. Step 4: Simplify right side
    20,202x = 316,982,865.60
  5. Step 5: Solve for x
    x = 316,982,865.60/20,202
  6. Step 6: Final answer
    x = 15,690.67

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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.