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Finding the Fourth Proportional to 2,591.70, 3,576.48 and 1,412.76

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Solution

The fourth proportional to 2,591.70, 3,576.48 and 1,412.76 is: 1,949.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.70 : 3,576.48 = 1,412.76 : x
  2. Step 2: Convert to fraction form
    2,591.70/3,576.48 = 1,412.76/x
  3. Step 3: Cross multiply
    2,591.70x = 3,576.48 × 1,412.76
  4. Step 4: Simplify right side
    2,591.70x = 5,052,707.88
  5. Step 5: Solve for x
    x = 5,052,707.88/2,591.70
  6. Step 6: Final answer
    x = 1,949.57

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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.