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Finding the Fourth Proportional to 6,978.40, 10,458.80 and 3,692.96

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Solution

The fourth proportional to 6,978.40, 10,458.80 and 3,692.96 is: 5,534.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.40 : 10,458.80 = 3,692.96 : x
  2. Step 2: Convert to fraction form
    6,978.40/10,458.80 = 3,692.96/x
  3. Step 3: Cross multiply
    6,978.40x = 10,458.80 × 3,692.96
  4. Step 4: Simplify right side
    6,978.40x = 38,623,930.05
  5. Step 5: Solve for x
    x = 38,623,930.05/6,978.40
  6. Step 6: Final answer
    x = 5,534.78

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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.