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Finding the Fourth Proportional to 3,370.65, 5,056.11 and 905.42

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Solution

The fourth proportional to 3,370.65, 5,056.11 and 905.42 is: 1,358.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370.65 : 5,056.11 = 905.42 : x
  2. Step 2: Convert to fraction form
    3,370.65/5,056.11 = 905.42/x
  3. Step 3: Cross multiply
    3,370.65x = 5,056.11 × 905.42
  4. Step 4: Simplify right side
    3,370.65x = 4,577,903.12
  5. Step 5: Solve for x
    x = 4,577,903.12/3,370.65
  6. Step 6: Final answer
    x = 1,358.17

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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.