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Finding the Fourth Proportional to 3,476.64, 5,214.54 and 879.60

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Solution

The fourth proportional to 3,476.64, 5,214.54 and 879.60 is: 1,319.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.64 : 5,214.54 = 879.60 : x
  2. Step 2: Convert to fraction form
    3,476.64/5,214.54 = 879.60/x
  3. Step 3: Cross multiply
    3,476.64x = 5,214.54 × 879.60
  4. Step 4: Simplify right side
    3,476.64x = 4,586,709.38
  5. Step 5: Solve for x
    x = 4,586,709.38/3,476.64
  6. Step 6: Final answer
    x = 1,319.29

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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.