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Finding the Fourth Proportional to 2,635, 3,932.06 and 2,285.08

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Solution

The fourth proportional to 2,635, 3,932.06 and 2,285.08 is: 3,409.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635 : 3,932.06 = 2,285.08 : x
  2. Step 2: Convert to fraction form
    2,635/3,932.06 = 2,285.08/x
  3. Step 3: Cross multiply
    2,635x = 3,932.06 × 2,285.08
  4. Step 4: Simplify right side
    2,635x = 8,985,071.66
  5. Step 5: Solve for x
    x = 8,985,071.66/2,635
  6. Step 6: Final answer
    x = 3,409.89

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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.