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Finding the Fourth Proportional to 2,956.52, 4,434.78 and 905.96

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Solution

The fourth proportional to 2,956.52, 4,434.78 and 905.96 is: 1,358.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.52 : 4,434.78 = 905.96 : x
  2. Step 2: Convert to fraction form
    2,956.52/4,434.78 = 905.96/x
  3. Step 3: Cross multiply
    2,956.52x = 4,434.78 × 905.96
  4. Step 4: Simplify right side
    2,956.52x = 4,017,733.29
  5. Step 5: Solve for x
    x = 4,017,733.29/2,956.52
  6. Step 6: Final answer
    x = 1,358.94

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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.