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Finding the Fourth Proportional to 2,457.46, 3,390.09 and 1,512.46

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Solution

The fourth proportional to 2,457.46, 3,390.09 and 1,512.46 is: 2,086.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.46 : 3,390.09 = 1,512.46 : x
  2. Step 2: Convert to fraction form
    2,457.46/3,390.09 = 1,512.46/x
  3. Step 3: Cross multiply
    2,457.46x = 3,390.09 × 1,512.46
  4. Step 4: Simplify right side
    2,457.46x = 5,127,375.52
  5. Step 5: Solve for x
    x = 5,127,375.52/2,457.46
  6. Step 6: Final answer
    x = 2,086.45

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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.