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Finding the Fourth Proportional to 2,457.63, 3,391.43 and 1,409.67

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Solution

The fourth proportional to 2,457.63, 3,391.43 and 1,409.67 is: 1,945.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.63 : 3,391.43 = 1,409.67 : x
  2. Step 2: Convert to fraction form
    2,457.63/3,391.43 = 1,409.67/x
  3. Step 3: Cross multiply
    2,457.63x = 3,391.43 × 1,409.67
  4. Step 4: Simplify right side
    2,457.63x = 4,780,790.08
  5. Step 5: Solve for x
    x = 4,780,790.08/2,457.63
  6. Step 6: Final answer
    x = 1,945.28

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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.