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Finding the Fourth Proportional to 14,692.82, 20,276.12 and 7,978.48

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Solution

The fourth proportional to 14,692.82, 20,276.12 and 7,978.48 is: 11,010.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,692.82 : 20,276.12 = 7,978.48 : x
  2. Step 2: Convert to fraction form
    14,692.82/20,276.12 = 7,978.48/x
  3. Step 3: Cross multiply
    14,692.82x = 20,276.12 × 7,978.48
  4. Step 4: Simplify right side
    14,692.82x = 161,772,587.15
  5. Step 5: Solve for x
    x = 161,772,587.15/14,692.82
  6. Step 6: Final answer
    x = 11,010.32

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1.5x scale

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.