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Finding the Fourth Proportional to 2,457.81, 3,391.78 and 1,353.81

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Solution

The fourth proportional to 2,457.81, 3,391.78 and 1,353.81 is: 1,868.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.81 : 3,391.78 = 1,353.81 : x
  2. Step 2: Convert to fraction form
    2,457.81/3,391.78 = 1,353.81/x
  3. Step 3: Cross multiply
    2,457.81x = 3,391.78 × 1,353.81
  4. Step 4: Simplify right side
    2,457.81x = 4,591,837.55
  5. Step 5: Solve for x
    x = 4,591,837.55/2,457.81
  6. Step 6: Final answer
    x = 1,868.26

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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.