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Finding the Fourth Proportional to 20,223, 27,907.76 and 11,270.30

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Solution

The fourth proportional to 20,223, 27,907.76 and 11,270.30 is: 15,553.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,223 : 27,907.76 = 11,270.30 : x
  2. Step 2: Convert to fraction form
    20,223/27,907.76 = 11,270.30/x
  3. Step 3: Cross multiply
    20,223x = 27,907.76 × 11,270.30
  4. Step 4: Simplify right side
    20,223x = 314,528,631.64
  5. Step 5: Solve for x
    x = 314,528,631.64/20,223
  6. Step 6: Final answer
    x = 15,553.02

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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.