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Finding the Fourth Proportional to 3,133.56, 4,698.06 and 1,489.16

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Solution

The fourth proportional to 3,133.56, 4,698.06 and 1,489.16 is: 2,232.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.56 : 4,698.06 = 1,489.16 : x
  2. Step 2: Convert to fraction form
    3,133.56/4,698.06 = 1,489.16/x
  3. Step 3: Cross multiply
    3,133.56x = 4,698.06 × 1,489.16
  4. Step 4: Simplify right side
    3,133.56x = 6,996,163.03
  5. Step 5: Solve for x
    x = 6,996,163.03/3,133.56
  6. Step 6: Final answer
    x = 2,232.66

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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.