Home / 4,148-5,724.24-2,285.04

Finding the Fourth Proportional to 4,148, 5,724.24 and 2,285.04

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Solution

The fourth proportional to 4,148, 5,724.24 and 2,285.04 is: 3,153.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148 : 5,724.24 = 2,285.04 : x
  2. Step 2: Convert to fraction form
    4,148/5,724.24 = 2,285.04/x
  3. Step 3: Cross multiply
    4,148x = 5,724.24 × 2,285.04
  4. Step 4: Simplify right side
    4,148x = 13,080,117.37
  5. Step 5: Solve for x
    x = 13,080,117.37/4,148
  6. Step 6: Final answer
    x = 3,153.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.