Home / 4,116-6,170.34-2,165.92

Finding the Fourth Proportional to 4,116, 6,170.34 and 2,165.92

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Solution

The fourth proportional to 4,116, 6,170.34 and 2,165.92 is: 3,246.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116 : 6,170.34 = 2,165.92 : x
  2. Step 2: Convert to fraction form
    4,116/6,170.34 = 2,165.92/x
  3. Step 3: Cross multiply
    4,116x = 6,170.34 × 2,165.92
  4. Step 4: Simplify right side
    4,116x = 13,364,462.81
  5. Step 5: Solve for x
    x = 13,364,462.81/4,116
  6. Step 6: Final answer
    x = 3,246.95

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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.