Home / 2,107.76-3,162.96-1,457.28

Finding the Fourth Proportional to 2,107.76, 3,162.96 and 1,457.28

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Solution

The fourth proportional to 2,107.76, 3,162.96 and 1,457.28 is: 2,186.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.76 : 3,162.96 = 1,457.28 : x
  2. Step 2: Convert to fraction form
    2,107.76/3,162.96 = 1,457.28/x
  3. Step 3: Cross multiply
    2,107.76x = 3,162.96 × 1,457.28
  4. Step 4: Simplify right side
    2,107.76x = 4,609,318.35
  5. Step 5: Solve for x
    x = 4,609,318.35/2,107.76
  6. Step 6: Final answer
    x = 2,186.83

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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.