Home / 4,146-6,219.36-1,681.92

Finding the Fourth Proportional to 4,146, 6,219.36 and 1,681.92

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Solution

The fourth proportional to 4,146, 6,219.36 and 1,681.92 is: 2,523.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146 : 6,219.36 = 1,681.92 : x
  2. Step 2: Convert to fraction form
    4,146/6,219.36 = 1,681.92/x
  3. Step 3: Cross multiply
    4,146x = 6,219.36 × 1,681.92
  4. Step 4: Simplify right side
    4,146x = 10,460,465.97
  5. Step 5: Solve for x
    x = 10,460,465.97/4,146
  6. Step 6: Final answer
    x = 2,523.03

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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.