Home / 1,457.16-2,010.96-827.70

Finding the Fourth Proportional to 1,457.16, 2,010.96 and 827.70

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Solution

The fourth proportional to 1,457.16, 2,010.96 and 827.70 is: 1,142.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.16 : 2,010.96 = 827.70 : x
  2. Step 2: Convert to fraction form
    1,457.16/2,010.96 = 827.70/x
  3. Step 3: Cross multiply
    1,457.16x = 2,010.96 × 827.70
  4. Step 4: Simplify right side
    1,457.16x = 1,664,471.59
  5. Step 5: Solve for x
    x = 1,664,471.59/1,457.16
  6. Step 6: Final answer
    x = 1,142.27

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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.