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Finding the Fourth Proportional to 12,821.64, 17,692.74 and 7,155.96

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Solution

The fourth proportional to 12,821.64, 17,692.74 and 7,155.96 is: 9,874.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,821.64 : 17,692.74 = 7,155.96 : x
  2. Step 2: Convert to fraction form
    12,821.64/17,692.74 = 7,155.96/x
  3. Step 3: Cross multiply
    12,821.64x = 17,692.74 × 7,155.96
  4. Step 4: Simplify right side
    12,821.64x = 126,608,539.73
  5. Step 5: Solve for x
    x = 126,608,539.73/12,821.64
  6. Step 6: Final answer
    x = 9,874.60

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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.