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Finding the Fourth Proportional to 20,007, 30,075.30 and 18,564.12

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Solution

The fourth proportional to 20,007, 30,075.30 and 18,564.12 is: 27,906.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,007 : 30,075.30 = 18,564.12 : x
  2. Step 2: Convert to fraction form
    20,007/30,075.30 = 18,564.12/x
  3. Step 3: Cross multiply
    20,007x = 30,075.30 × 18,564.12
  4. Step 4: Simplify right side
    20,007x = 558,321,478.24
  5. Step 5: Solve for x
    x = 558,321,478.24/20,007
  6. Step 6: Final answer
    x = 27,906.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.