Home / 4,147.23-5,723.17-2,284.23

Finding the Fourth Proportional to 4,147.23, 5,723.17 and 2,284.23

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Solution

The fourth proportional to 4,147.23, 5,723.17 and 2,284.23 is: 3,152.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.23 : 5,723.17 = 2,284.23 : x
  2. Step 2: Convert to fraction form
    4,147.23/5,723.17 = 2,284.23/x
  3. Step 3: Cross multiply
    4,147.23x = 5,723.17 × 2,284.23
  4. Step 4: Simplify right side
    4,147.23x = 13,073,036.61
  5. Step 5: Solve for x
    x = 13,073,036.61/4,147.23
  6. Step 6: Final answer
    x = 3,152.23

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Double scale
Find fourth proportional to 4,148.23, 5,724.55 and 2,285.23
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1.5x scale

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.