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Finding the Fourth Proportional to 3,030.66, 4,546.09 and 839.41

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Solution

The fourth proportional to 3,030.66, 4,546.09 and 839.41 is: 1,259.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,030.66 : 4,546.09 = 839.41 : x
  2. Step 2: Convert to fraction form
    3,030.66/4,546.09 = 839.41/x
  3. Step 3: Cross multiply
    3,030.66x = 4,546.09 × 839.41
  4. Step 4: Simplify right side
    3,030.66x = 3,816,033.41
  5. Step 5: Solve for x
    x = 3,816,033.41/3,030.66
  6. Step 6: Final answer
    x = 1,259.14

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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.