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Finding the Fourth Proportional to 14,692.10, 20,275.44 and 7,978

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Solution

The fourth proportional to 14,692.10, 20,275.44 and 7,978 is: 11,009.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,692.10 : 20,275.44 = 7,978 : x
  2. Step 2: Convert to fraction form
    14,692.10/20,275.44 = 7,978/x
  3. Step 3: Cross multiply
    14,692.10x = 20,275.44 × 7,978
  4. Step 4: Simplify right side
    14,692.10x = 161,757,460.32
  5. Step 5: Solve for x
    x = 161,757,460.32/14,692.10
  6. Step 6: Final answer
    x = 11,009.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.