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Finding the Fourth Proportional to 7,978.24, 11,938.20 and 4,692.88

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Solution

The fourth proportional to 7,978.24, 11,938.20 and 4,692.88 is: 7,022.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.24 : 11,938.20 = 4,692.88 : x
  2. Step 2: Convert to fraction form
    7,978.24/11,938.20 = 4,692.88/x
  3. Step 3: Cross multiply
    7,978.24x = 11,938.20 × 4,692.88
  4. Step 4: Simplify right side
    7,978.24x = 56,024,540.02
  5. Step 5: Solve for x
    x = 56,024,540.02/7,978.24
  6. Step 6: Final answer
    x = 7,022.17

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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.