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Finding the Fourth Proportional to 3,678.79, 5,518.19 and 905.51

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Solution

The fourth proportional to 3,678.79, 5,518.19 and 905.51 is: 1,358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.79 : 5,518.19 = 905.51 : x
  2. Step 2: Convert to fraction form
    3,678.79/5,518.19 = 905.51/x
  3. Step 3: Cross multiply
    3,678.79x = 5,518.19 × 905.51
  4. Step 4: Simplify right side
    3,678.79x = 4,996,771.70
  5. Step 5: Solve for x
    x = 4,996,771.70/3,678.79
  6. Step 6: Final answer
    x = 1,358.27

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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.