Home / 2,821.58-4,231.24-972.20

Finding the Fourth Proportional to 2,821.58, 4,231.24 and 972.20

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Solution

The fourth proportional to 2,821.58, 4,231.24 and 972.20 is: 1,457.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.58 : 4,231.24 = 972.20 : x
  2. Step 2: Convert to fraction form
    2,821.58/4,231.24 = 972.20/x
  3. Step 3: Cross multiply
    2,821.58x = 4,231.24 × 972.20
  4. Step 4: Simplify right side
    2,821.58x = 4,113,619.68
  5. Step 5: Solve for x
    x = 4,113,619.68/2,821.58
  6. Step 6: Final answer
    x = 1,457.91

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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.