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Finding the Fourth Proportional to 5,978.46, 8,955.38 and 3,505.80

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Solution

The fourth proportional to 5,978.46, 8,955.38 and 3,505.80 is: 5,251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.46 : 8,955.38 = 3,505.80 : x
  2. Step 2: Convert to fraction form
    5,978.46/8,955.38 = 3,505.80/x
  3. Step 3: Cross multiply
    5,978.46x = 8,955.38 × 3,505.80
  4. Step 4: Simplify right side
    5,978.46x = 31,395,771.20
  5. Step 5: Solve for x
    x = 31,395,771.20/5,978.46
  6. Step 6: Final answer
    x = 5,251.48

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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.