Home / 1,457.45-2,011.21-827.96

Finding the Fourth Proportional to 1,457.45, 2,011.21 and 827.96

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Solution

The fourth proportional to 1,457.45, 2,011.21 and 827.96 is: 1,142.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.45 : 2,011.21 = 827.96 : x
  2. Step 2: Convert to fraction form
    1,457.45/2,011.21 = 827.96/x
  3. Step 3: Cross multiply
    1,457.45x = 2,011.21 × 827.96
  4. Step 4: Simplify right side
    1,457.45x = 1,665,199.66
  5. Step 5: Solve for x
    x = 1,665,199.66/1,457.45
  6. Step 6: Final answer
    x = 1,142.55

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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.