Home / 3,130.24-4,697-2,271.64

Finding the Fourth Proportional to 3,130.24, 4,697 and 2,271.64

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Solution

The fourth proportional to 3,130.24, 4,697 and 2,271.64 is: 3,408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.24 : 4,697 = 2,271.64 : x
  2. Step 2: Convert to fraction form
    3,130.24/4,697 = 2,271.64/x
  3. Step 3: Cross multiply
    3,130.24x = 4,697 × 2,271.64
  4. Step 4: Simplify right side
    3,130.24x = 10,669,893.08
  5. Step 5: Solve for x
    x = 10,669,893.08/3,130.24
  6. Step 6: Final answer
    x = 3,408.65

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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.