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Finding the Fourth Proportional to 3,030.78, 4,546.18 and 839.52

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Solution

The fourth proportional to 3,030.78, 4,546.18 and 839.52 is: 1,259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,030.78 : 4,546.18 = 839.52 : x
  2. Step 2: Convert to fraction form
    3,030.78/4,546.18 = 839.52/x
  3. Step 3: Cross multiply
    3,030.78x = 4,546.18 × 839.52
  4. Step 4: Simplify right side
    3,030.78x = 3,816,609.03
  5. Step 5: Solve for x
    x = 3,816,609.03/3,030.78
  6. Step 6: Final answer
    x = 1,259.28

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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.