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Finding the Fourth Proportional to 1,935.89, 2,903.09 and 824.61

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Solution

The fourth proportional to 1,935.89, 2,903.09 and 824.61 is: 1,236.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.89 : 2,903.09 = 824.61 : x
  2. Step 2: Convert to fraction form
    1,935.89/2,903.09 = 824.61/x
  3. Step 3: Cross multiply
    1,935.89x = 2,903.09 × 824.61
  4. Step 4: Simplify right side
    1,935.89x = 2,393,903.95
  5. Step 5: Solve for x
    x = 2,393,903.95/1,935.89
  6. Step 6: Final answer
    x = 1,236.59

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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.