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Finding the Fourth Proportional to 2,461.38, 3,692.79 and 730.05

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Solution

The fourth proportional to 2,461.38, 3,692.79 and 730.05 is: 1,095.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.38 : 3,692.79 = 730.05 : x
  2. Step 2: Convert to fraction form
    2,461.38/3,692.79 = 730.05/x
  3. Step 3: Cross multiply
    2,461.38x = 3,692.79 × 730.05
  4. Step 4: Simplify right side
    2,461.38x = 2,695,921.34
  5. Step 5: Solve for x
    x = 2,695,921.34/2,461.38
  6. Step 6: Final answer
    x = 1,095.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.