Home / 3,106.48-4,657.56-1,158.16

Finding the Fourth Proportional to 3,106.48, 4,657.56 and 1,158.16

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Solution

The fourth proportional to 3,106.48, 4,657.56 and 1,158.16 is: 1,736.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.48 : 4,657.56 = 1,158.16 : x
  2. Step 2: Convert to fraction form
    3,106.48/4,657.56 = 1,158.16/x
  3. Step 3: Cross multiply
    3,106.48x = 4,657.56 × 1,158.16
  4. Step 4: Simplify right side
    3,106.48x = 5,394,199.69
  5. Step 5: Solve for x
    x = 5,394,199.69/3,106.48
  6. Step 6: Final answer
    x = 1,736.43

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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.