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Finding the Fourth Proportional to 3,902, 5,384.76 and 2,505.04

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Solution

The fourth proportional to 3,902, 5,384.76 and 2,505.04 is: 3,456.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902 : 5,384.76 = 2,505.04 : x
  2. Step 2: Convert to fraction form
    3,902/5,384.76 = 2,505.04/x
  3. Step 3: Cross multiply
    3,902x = 5,384.76 × 2,505.04
  4. Step 4: Simplify right side
    3,902x = 13,489,039.19
  5. Step 5: Solve for x
    x = 13,489,039.19/3,902
  6. Step 6: Final answer
    x = 3,456.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.