Home / 3,162.22-4,743.58-971.12

Finding the Fourth Proportional to 3,162.22, 4,743.58 and 971.12

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Solution

The fourth proportional to 3,162.22, 4,743.58 and 971.12 is: 1,456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.22 : 4,743.58 = 971.12 : x
  2. Step 2: Convert to fraction form
    3,162.22/4,743.58 = 971.12/x
  3. Step 3: Cross multiply
    3,162.22x = 4,743.58 × 971.12
  4. Step 4: Simplify right side
    3,162.22x = 4,606,585.41
  5. Step 5: Solve for x
    x = 4,606,585.41/3,162.22
  6. Step 6: Final answer
    x = 1,456.76

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1.5x scale

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.