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Finding the Fourth Proportional to 2,772.20, 4,158.18 and 692.22

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Solution

The fourth proportional to 2,772.20, 4,158.18 and 692.22 is: 1,038.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.20 : 4,158.18 = 692.22 : x
  2. Step 2: Convert to fraction form
    2,772.20/4,158.18 = 692.22/x
  3. Step 3: Cross multiply
    2,772.20x = 4,158.18 × 692.22
  4. Step 4: Simplify right side
    2,772.20x = 2,878,375.36
  5. Step 5: Solve for x
    x = 2,878,375.36/2,772.20
  6. Step 6: Final answer
    x = 1,038.30

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1.5x scale

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.