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Finding the Fourth Proportional to 2,412.87, 3,619.02 and 657.81

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Solution

The fourth proportional to 2,412.87, 3,619.02 and 657.81 is: 986.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.87 : 3,619.02 = 657.81 : x
  2. Step 2: Convert to fraction form
    2,412.87/3,619.02 = 657.81/x
  3. Step 3: Cross multiply
    2,412.87x = 3,619.02 × 657.81
  4. Step 4: Simplify right side
    2,412.87x = 2,380,627.55
  5. Step 5: Solve for x
    x = 2,380,627.55/2,412.87
  6. Step 6: Final answer
    x = 986.64

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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.