Home / 3,094.16-4,638-2,271.20

Finding the Fourth Proportional to 3,094.16, 4,638 and 2,271.20

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Solution

The fourth proportional to 3,094.16, 4,638 and 2,271.20 is: 3,404.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.16 : 4,638 = 2,271.20 : x
  2. Step 2: Convert to fraction form
    3,094.16/4,638 = 2,271.20/x
  3. Step 3: Cross multiply
    3,094.16x = 4,638 × 2,271.20
  4. Step 4: Simplify right side
    3,094.16x = 10,533,825.60
  5. Step 5: Solve for x
    x = 10,533,825.60/3,094.16
  6. Step 6: Final answer
    x = 3,404.42

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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.