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Finding the Fourth Proportional to 20,048.56, 30,075 and 8,355.28

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Solution

The fourth proportional to 20,048.56, 30,075 and 8,355.28 is: 12,533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,048.56 : 30,075 = 8,355.28 : x
  2. Step 2: Convert to fraction form
    20,048.56/30,075 = 8,355.28/x
  3. Step 3: Cross multiply
    20,048.56x = 30,075 × 8,355.28
  4. Step 4: Simplify right side
    20,048.56x = 251,285,046.00
  5. Step 5: Solve for x
    x = 251,285,046.00/20,048.56
  6. Step 6: Final answer
    x = 12,533.82

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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.