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Finding the Fourth Proportional to 1,665, 2,496.78 and 842.85

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Solution

The fourth proportional to 1,665, 2,496.78 and 842.85 is: 1,263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665 : 2,496.78 = 842.85 : x
  2. Step 2: Convert to fraction form
    1,665/2,496.78 = 842.85/x
  3. Step 3: Cross multiply
    1,665x = 2,496.78 × 842.85
  4. Step 4: Simplify right side
    1,665x = 2,104,411.02
  5. Step 5: Solve for x
    x = 2,104,411.02/1,665
  6. Step 6: Final answer
    x = 1,263.91

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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.