Home / 1,457.16-2,011.68-867.84

Finding the Fourth Proportional to 1,457.16, 2,011.68 and 867.84

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Solution

The fourth proportional to 1,457.16, 2,011.68 and 867.84 is: 1,198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.16 : 2,011.68 = 867.84 : x
  2. Step 2: Convert to fraction form
    1,457.16/2,011.68 = 867.84/x
  3. Step 3: Cross multiply
    1,457.16x = 2,011.68 × 867.84
  4. Step 4: Simplify right side
    1,457.16x = 1,745,816.37
  5. Step 5: Solve for x
    x = 1,745,816.37/1,457.16
  6. Step 6: Final answer
    x = 1,198.10

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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.