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Finding the Fourth Proportional to 2,772.56, 4,158.90 and 692.54

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Solution

The fourth proportional to 2,772.56, 4,158.90 and 692.54 is: 1,038.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.56 : 4,158.90 = 692.54 : x
  2. Step 2: Convert to fraction form
    2,772.56/4,158.90 = 692.54/x
  3. Step 3: Cross multiply
    2,772.56x = 4,158.90 × 692.54
  4. Step 4: Simplify right side
    2,772.56x = 2,880,204.61
  5. Step 5: Solve for x
    x = 2,880,204.61/2,772.56
  6. Step 6: Final answer
    x = 1,038.82

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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.