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Finding the Fourth Proportional to 1,982.10, 2,970.99 and 826.50

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Solution

The fourth proportional to 1,982.10, 2,970.99 and 826.50 is: 1,238.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.10 : 2,970.99 = 826.50 : x
  2. Step 2: Convert to fraction form
    1,982.10/2,970.99 = 826.50/x
  3. Step 3: Cross multiply
    1,982.10x = 2,970.99 × 826.50
  4. Step 4: Simplify right side
    1,982.10x = 2,455,523.24
  5. Step 5: Solve for x
    x = 2,455,523.24/1,982.10
  6. Step 6: Final answer
    x = 1,238.85

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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.