Home / 4,148-5,724.40-2,285.12

Finding the Fourth Proportional to 4,148, 5,724.40 and 2,285.12

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Solution

The fourth proportional to 4,148, 5,724.40 and 2,285.12 is: 3,153.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148 : 5,724.40 = 2,285.12 : x
  2. Step 2: Convert to fraction form
    4,148/5,724.40 = 2,285.12/x
  3. Step 3: Cross multiply
    4,148x = 5,724.40 × 2,285.12
  4. Step 4: Simplify right side
    4,148x = 13,080,940.93
  5. Step 5: Solve for x
    x = 13,080,940.93/4,148
  6. Step 6: Final answer
    x = 3,153.55

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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.