Home / 3,106.22-4,656.08-1,157.64

Finding the Fourth Proportional to 3,106.22, 4,656.08 and 1,157.64

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Solution

The fourth proportional to 3,106.22, 4,656.08 and 1,157.64 is: 1,735.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.22 : 4,656.08 = 1,157.64 : x
  2. Step 2: Convert to fraction form
    3,106.22/4,656.08 = 1,157.64/x
  3. Step 3: Cross multiply
    3,106.22x = 4,656.08 × 1,157.64
  4. Step 4: Simplify right side
    3,106.22x = 5,390,064.45
  5. Step 5: Solve for x
    x = 5,390,064.45/3,106.22
  6. Step 6: Final answer
    x = 1,735.25

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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.