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Finding the Fourth Proportional to 20,213, 27,894.78 and 11,260.50

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Solution

The fourth proportional to 20,213, 27,894.78 and 11,260.50 is: 15,539.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,213 : 27,894.78 = 11,260.50 : x
  2. Step 2: Convert to fraction form
    20,213/27,894.78 = 11,260.50/x
  3. Step 3: Cross multiply
    20,213x = 27,894.78 × 11,260.50
  4. Step 4: Simplify right side
    20,213x = 314,109,170.19
  5. Step 5: Solve for x
    x = 314,109,170.19/20,213
  6. Step 6: Final answer
    x = 15,539.96

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1.5x scale

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.