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Finding the Fourth Proportional to 2,692.12, 4,038.99 and 960.88

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Solution

The fourth proportional to 2,692.12, 4,038.99 and 960.88 is: 1,441.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.12 : 4,038.99 = 960.88 : x
  2. Step 2: Convert to fraction form
    2,692.12/4,038.99 = 960.88/x
  3. Step 3: Cross multiply
    2,692.12x = 4,038.99 × 960.88
  4. Step 4: Simplify right side
    2,692.12x = 3,880,959.71
  5. Step 5: Solve for x
    x = 3,880,959.71/2,692.12
  6. Step 6: Final answer
    x = 1,441.60

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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.