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Finding the Fourth Proportional to 3,096.40, 4,644.76 and 905.30

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Solution

The fourth proportional to 3,096.40, 4,644.76 and 905.30 is: 1,358.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.40 : 4,644.76 = 905.30 : x
  2. Step 2: Convert to fraction form
    3,096.40/4,644.76 = 905.30/x
  3. Step 3: Cross multiply
    3,096.40x = 4,644.76 × 905.30
  4. Step 4: Simplify right side
    3,096.40x = 4,204,901.23
  5. Step 5: Solve for x
    x = 4,204,901.23/3,096.40
  6. Step 6: Final answer
    x = 1,358.00

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1.5x scale

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.