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Finding the Fourth Proportional to 3,319.23, 4,978.83 and 853.84

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Solution

The fourth proportional to 3,319.23, 4,978.83 and 853.84 is: 1,280.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.23 : 4,978.83 = 853.84 : x
  2. Step 2: Convert to fraction form
    3,319.23/4,978.83 = 853.84/x
  3. Step 3: Cross multiply
    3,319.23x = 4,978.83 × 853.84
  4. Step 4: Simplify right side
    3,319.23x = 4,251,133.63
  5. Step 5: Solve for x
    x = 4,251,133.63/3,319.23
  6. Step 6: Final answer
    x = 1,280.76

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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.