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Finding the Fourth Proportional to 3,164.88, 4,749 and 1,218.32

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Solution

The fourth proportional to 3,164.88, 4,749 and 1,218.32 is: 1,828.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.88 : 4,749 = 1,218.32 : x
  2. Step 2: Convert to fraction form
    3,164.88/4,749 = 1,218.32/x
  3. Step 3: Cross multiply
    3,164.88x = 4,749 × 1,218.32
  4. Step 4: Simplify right side
    3,164.88x = 5,785,801.68
  5. Step 5: Solve for x
    x = 5,785,801.68/3,164.88
  6. Step 6: Final answer
    x = 1,828.13

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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.