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Finding the Fourth Proportional to 5,980.42, 8,972 and 1,821.02

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Solution

The fourth proportional to 5,980.42, 8,972 and 1,821.02 is: 2,731.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.42 : 8,972 = 1,821.02 : x
  2. Step 2: Convert to fraction form
    5,980.42/8,972 = 1,821.02/x
  3. Step 3: Cross multiply
    5,980.42x = 8,972 × 1,821.02
  4. Step 4: Simplify right side
    5,980.42x = 16,338,191.44
  5. Step 5: Solve for x
    x = 16,338,191.44/5,980.42
  6. Step 6: Final answer
    x = 2,731.95

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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.