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Finding the Fourth Proportional to 3,434.64, 5,148 and 1,790.64

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Solution

The fourth proportional to 3,434.64, 5,148 and 1,790.64 is: 2,683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.64 : 5,148 = 1,790.64 : x
  2. Step 2: Convert to fraction form
    3,434.64/5,148 = 1,790.64/x
  3. Step 3: Cross multiply
    3,434.64x = 5,148 × 1,790.64
  4. Step 4: Simplify right side
    3,434.64x = 9,218,214.72
  5. Step 5: Solve for x
    x = 9,218,214.72/3,434.64
  6. Step 6: Final answer
    x = 2,683.90

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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.