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Finding the Fourth Proportional to 20,201, 30,304.78 and 5,970.92

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Solution

The fourth proportional to 20,201, 30,304.78 and 5,970.92 is: 8,957.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,201 : 30,304.78 = 5,970.92 : x
  2. Step 2: Convert to fraction form
    20,201/30,304.78 = 5,970.92/x
  3. Step 3: Cross multiply
    20,201x = 30,304.78 × 5,970.92
  4. Step 4: Simplify right side
    20,201x = 180,947,431.92
  5. Step 5: Solve for x
    x = 180,947,431.92/20,201
  6. Step 6: Final answer
    x = 8,957.35

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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.