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Finding the Fourth Proportional to 2,457.64, 3,391.48 and 1,409.64

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Solution

The fourth proportional to 2,457.64, 3,391.48 and 1,409.64 is: 1,945.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.64 : 3,391.48 = 1,409.64 : x
  2. Step 2: Convert to fraction form
    2,457.64/3,391.48 = 1,409.64/x
  3. Step 3: Cross multiply
    2,457.64x = 3,391.48 × 1,409.64
  4. Step 4: Simplify right side
    2,457.64x = 4,780,765.87
  5. Step 5: Solve for x
    x = 4,780,765.87/2,457.64
  6. Step 6: Final answer
    x = 1,945.27

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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.