Home / 3,424-4,725.20-1,931.64

Finding the Fourth Proportional to 3,424, 4,725.20 and 1,931.64

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Solution

The fourth proportional to 3,424, 4,725.20 and 1,931.64 is: 2,665.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424 : 4,725.20 = 1,931.64 : x
  2. Step 2: Convert to fraction form
    3,424/4,725.20 = 1,931.64/x
  3. Step 3: Cross multiply
    3,424x = 4,725.20 × 1,931.64
  4. Step 4: Simplify right side
    3,424x = 9,127,385.33
  5. Step 5: Solve for x
    x = 9,127,385.33/3,424
  6. Step 6: Final answer
    x = 2,665.71

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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.