Home / 4,097.64-6,149.76-2,151

Finding the Fourth Proportional to 4,097.64, 6,149.76 and 2,151

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Solution

The fourth proportional to 4,097.64, 6,149.76 and 2,151 is: 3,228.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.64 : 6,149.76 = 2,151 : x
  2. Step 2: Convert to fraction form
    4,097.64/6,149.76 = 2,151/x
  3. Step 3: Cross multiply
    4,097.64x = 6,149.76 × 2,151
  4. Step 4: Simplify right side
    4,097.64x = 13,228,133.76
  5. Step 5: Solve for x
    x = 13,228,133.76/4,097.64
  6. Step 6: Final answer
    x = 3,228.23

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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.