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Finding the Fourth Proportional to 2,457.96, 3,391.88 and 1,409.96

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Solution

The fourth proportional to 2,457.96, 3,391.88 and 1,409.96 is: 1,945.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.96 : 3,391.88 = 1,409.96 : x
  2. Step 2: Convert to fraction form
    2,457.96/3,391.88 = 1,409.96/x
  3. Step 3: Cross multiply
    2,457.96x = 3,391.88 × 1,409.96
  4. Step 4: Simplify right side
    2,457.96x = 4,782,415.12
  5. Step 5: Solve for x
    x = 4,782,415.12/2,457.96
  6. Step 6: Final answer
    x = 1,945.68

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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.