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Finding the Fourth Proportional to 2,457.09, 3,390.71 and 1,409.09

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Solution

The fourth proportional to 2,457.09, 3,390.71 and 1,409.09 is: 1,944.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.09 : 3,390.71 = 1,409.09 : x
  2. Step 2: Convert to fraction form
    2,457.09/3,390.71 = 1,409.09/x
  3. Step 3: Cross multiply
    2,457.09x = 3,390.71 × 1,409.09
  4. Step 4: Simplify right side
    2,457.09x = 4,777,791.55
  5. Step 5: Solve for x
    x = 4,777,791.55/2,457.09
  6. Step 6: Final answer
    x = 1,944.49

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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.