Home / 3,184.16-4,771.11-1,724

Finding the Fourth Proportional to 3,184.16, 4,771.11 and 1,724

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Solution

The fourth proportional to 3,184.16, 4,771.11 and 1,724 is: 2,583.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.16 : 4,771.11 = 1,724 : x
  2. Step 2: Convert to fraction form
    3,184.16/4,771.11 = 1,724/x
  3. Step 3: Cross multiply
    3,184.16x = 4,771.11 × 1,724
  4. Step 4: Simplify right side
    3,184.16x = 8,225,393.64
  5. Step 5: Solve for x
    x = 8,225,393.64/3,184.16
  6. Step 6: Final answer
    x = 2,583.22

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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.