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Finding the Fourth Proportional to 2,285.88, 3,429.82 and 988.20

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Solution

The fourth proportional to 2,285.88, 3,429.82 and 988.20 is: 1,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.88 : 3,429.82 = 988.20 : x
  2. Step 2: Convert to fraction form
    2,285.88/3,429.82 = 988.20/x
  3. Step 3: Cross multiply
    2,285.88x = 3,429.82 × 988.20
  4. Step 4: Simplify right side
    2,285.88x = 3,389,348.12
  5. Step 5: Solve for x
    x = 3,389,348.12/2,285.88
  6. Step 6: Final answer
    x = 1,482.73

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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.