Home / 1,457.37-2,011.23-827.67

Finding the Fourth Proportional to 1,457.37, 2,011.23 and 827.67

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Solution

The fourth proportional to 1,457.37, 2,011.23 and 827.67 is: 1,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.37 : 2,011.23 = 827.67 : x
  2. Step 2: Convert to fraction form
    1,457.37/2,011.23 = 827.67/x
  3. Step 3: Cross multiply
    1,457.37x = 2,011.23 × 827.67
  4. Step 4: Simplify right side
    1,457.37x = 1,664,634.73
  5. Step 5: Solve for x
    x = 1,664,634.73/1,457.37
  6. Step 6: Final answer
    x = 1,142.22

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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.