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Finding the Fourth Proportional to 3,579.18, 5,368.65 and 982.11

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Solution

The fourth proportional to 3,579.18, 5,368.65 and 982.11 is: 1,473.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,579.18 : 5,368.65 = 982.11 : x
  2. Step 2: Convert to fraction form
    3,579.18/5,368.65 = 982.11/x
  3. Step 3: Cross multiply
    3,579.18x = 5,368.65 × 982.11
  4. Step 4: Simplify right side
    3,579.18x = 5,272,604.85
  5. Step 5: Solve for x
    x = 5,272,604.85/3,579.18
  6. Step 6: Final answer
    x = 1,473.13

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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.