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Finding the Fourth Proportional to 3,491.70, 5,237.55 and 1,412.70

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Solution

The fourth proportional to 3,491.70, 5,237.55 and 1,412.70 is: 2,119.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.70 : 5,237.55 = 1,412.70 : x
  2. Step 2: Convert to fraction form
    3,491.70/5,237.55 = 1,412.70/x
  3. Step 3: Cross multiply
    3,491.70x = 5,237.55 × 1,412.70
  4. Step 4: Simplify right side
    3,491.70x = 7,399,086.89
  5. Step 5: Solve for x
    x = 7,399,086.89/3,491.70
  6. Step 6: Final answer
    x = 2,119.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.