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Finding the Fourth Proportional to 3,158.64, 4,728.24 and 2,692.08

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Solution

The fourth proportional to 3,158.64, 4,728.24 and 2,692.08 is: 4,029.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.64 : 4,728.24 = 2,692.08 : x
  2. Step 2: Convert to fraction form
    3,158.64/4,728.24 = 2,692.08/x
  3. Step 3: Cross multiply
    3,158.64x = 4,728.24 × 2,692.08
  4. Step 4: Simplify right side
    3,158.64x = 12,728,800.34
  5. Step 5: Solve for x
    x = 12,728,800.34/3,158.64
  6. Step 6: Final answer
    x = 4,029.84

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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.