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Finding the Fourth Proportional to 3,996.74, 5,994.20 and 1,075.28

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Solution

The fourth proportional to 3,996.74, 5,994.20 and 1,075.28 is: 1,612.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.74 : 5,994.20 = 1,075.28 : x
  2. Step 2: Convert to fraction form
    3,996.74/5,994.20 = 1,075.28/x
  3. Step 3: Cross multiply
    3,996.74x = 5,994.20 × 1,075.28
  4. Step 4: Simplify right side
    3,996.74x = 6,445,416.09
  5. Step 5: Solve for x
    x = 6,445,416.09/3,996.74
  6. Step 6: Final answer
    x = 1,612.67

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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.