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Finding the Fourth Proportional to 20,047.77, 30,078.51 and 7,571.41

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Solution

The fourth proportional to 20,047.77, 30,078.51 and 7,571.41 is: 11,359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,047.77 : 30,078.51 = 7,571.41 : x
  2. Step 2: Convert to fraction form
    20,047.77/30,078.51 = 7,571.41/x
  3. Step 3: Cross multiply
    20,047.77x = 30,078.51 × 7,571.41
  4. Step 4: Simplify right side
    20,047.77x = 227,736,627.81
  5. Step 5: Solve for x
    x = 227,736,627.81/20,047.77
  6. Step 6: Final answer
    x = 11,359.70

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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.