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Finding the Fourth Proportional to 1,932.30, 2,898.51 and 836.70

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Solution

The fourth proportional to 1,932.30, 2,898.51 and 836.70 is: 1,255.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.30 : 2,898.51 = 836.70 : x
  2. Step 2: Convert to fraction form
    1,932.30/2,898.51 = 836.70/x
  3. Step 3: Cross multiply
    1,932.30x = 2,898.51 × 836.70
  4. Step 4: Simplify right side
    1,932.30x = 2,425,183.32
  5. Step 5: Solve for x
    x = 2,425,183.32/1,932.30
  6. Step 6: Final answer
    x = 1,255.08

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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.