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Finding the Fourth Proportional to 3,752.40, 5,628.10 and 979.28

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Solution

The fourth proportional to 3,752.40, 5,628.10 and 979.28 is: 1,468.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.40 : 5,628.10 = 979.28 : x
  2. Step 2: Convert to fraction form
    3,752.40/5,628.10 = 979.28/x
  3. Step 3: Cross multiply
    3,752.40x = 5,628.10 × 979.28
  4. Step 4: Simplify right side
    3,752.40x = 5,511,485.77
  5. Step 5: Solve for x
    x = 5,511,485.77/3,752.40
  6. Step 6: Final answer
    x = 1,468.79

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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.