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Finding the Fourth Proportional to 3,096.72, 4,645.08 and 905.40

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Solution

The fourth proportional to 3,096.72, 4,645.08 and 905.40 is: 1,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.72 : 4,645.08 = 905.40 : x
  2. Step 2: Convert to fraction form
    3,096.72/4,645.08 = 905.40/x
  3. Step 3: Cross multiply
    3,096.72x = 4,645.08 × 905.40
  4. Step 4: Simplify right side
    3,096.72x = 4,205,655.43
  5. Step 5: Solve for x
    x = 4,205,655.43/3,096.72
  6. Step 6: Final answer
    x = 1,358.10

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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.