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Finding the Fourth Proportional to 2,385, 3,558.96 and 2,166.84

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Solution

The fourth proportional to 2,385, 3,558.96 and 2,166.84 is: 3,233.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385 : 3,558.96 = 2,166.84 : x
  2. Step 2: Convert to fraction form
    2,385/3,558.96 = 2,166.84/x
  3. Step 3: Cross multiply
    2,385x = 3,558.96 × 2,166.84
  4. Step 4: Simplify right side
    2,385x = 7,711,696.89
  5. Step 5: Solve for x
    x = 7,711,696.89/2,385
  6. Step 6: Final answer
    x = 3,233.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.