Home / 4,098.40-6,145.72-1,176

Finding the Fourth Proportional to 4,098.40, 6,145.72 and 1,176

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Solution

The fourth proportional to 4,098.40, 6,145.72 and 1,176 is: 1,763.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.40 : 6,145.72 = 1,176 : x
  2. Step 2: Convert to fraction form
    4,098.40/6,145.72 = 1,176/x
  3. Step 3: Cross multiply
    4,098.40x = 6,145.72 × 1,176
  4. Step 4: Simplify right side
    4,098.40x = 7,227,366.72
  5. Step 5: Solve for x
    x = 7,227,366.72/4,098.40
  6. Step 6: Final answer
    x = 1,763.46

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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.