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Finding the Fourth Proportional to 3,358.56, 4,633.20 and 2,892

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Solution

The fourth proportional to 3,358.56, 4,633.20 and 2,892 is: 3,989.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,358.56 : 4,633.20 = 2,892 : x
  2. Step 2: Convert to fraction form
    3,358.56/4,633.20 = 2,892/x
  3. Step 3: Cross multiply
    3,358.56x = 4,633.20 × 2,892
  4. Step 4: Simplify right side
    3,358.56x = 13,399,214.40
  5. Step 5: Solve for x
    x = 13,399,214.40/3,358.56
  6. Step 6: Final answer
    x = 3,989.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.