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Finding the Fourth Proportional to 3,370.30, 5,055.04 and 905.30

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Solution

The fourth proportional to 3,370.30, 5,055.04 and 905.30 is: 1,357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370.30 : 5,055.04 = 905.30 : x
  2. Step 2: Convert to fraction form
    3,370.30/5,055.04 = 905.30/x
  3. Step 3: Cross multiply
    3,370.30x = 5,055.04 × 905.30
  4. Step 4: Simplify right side
    3,370.30x = 4,576,327.71
  5. Step 5: Solve for x
    x = 4,576,327.71/3,370.30
  6. Step 6: Final answer
    x = 1,357.84

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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.