Home / 3,415.64-5,113.60-2,005.78

Finding the Fourth Proportional to 3,415.64, 5,113.60 and 2,005.78

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Solution

The fourth proportional to 3,415.64, 5,113.60 and 2,005.78 is: 3,002.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.64 : 5,113.60 = 2,005.78 : x
  2. Step 2: Convert to fraction form
    3,415.64/5,113.60 = 2,005.78/x
  3. Step 3: Cross multiply
    3,415.64x = 5,113.60 × 2,005.78
  4. Step 4: Simplify right side
    3,415.64x = 10,256,748.40
  5. Step 5: Solve for x
    x = 10,256,748.40/3,415.64
  6. Step 6: Final answer
    x = 3,002.88

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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.