Home / 7,140.26-10,710.93-1,946

Finding the Fourth Proportional to 7,140.26, 10,710.93 and 1,946

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Solution

The fourth proportional to 7,140.26, 10,710.93 and 1,946 is: 2,919.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.26 : 10,710.93 = 1,946 : x
  2. Step 2: Convert to fraction form
    7,140.26/10,710.93 = 1,946/x
  3. Step 3: Cross multiply
    7,140.26x = 10,710.93 × 1,946
  4. Step 4: Simplify right side
    7,140.26x = 20,843,469.78
  5. Step 5: Solve for x
    x = 20,843,469.78/7,140.26
  6. Step 6: Final answer
    x = 2,919.15

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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.