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Finding the Fourth Proportional to 5,128.40, 7,676.40 and 3,670.40

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Solution

The fourth proportional to 5,128.40, 7,676.40 and 3,670.40 is: 5,494.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.40 : 7,676.40 = 3,670.40 : x
  2. Step 2: Convert to fraction form
    5,128.40/7,676.40 = 3,670.40/x
  3. Step 3: Cross multiply
    5,128.40x = 7,676.40 × 3,670.40
  4. Step 4: Simplify right side
    5,128.40x = 28,175,458.56
  5. Step 5: Solve for x
    x = 28,175,458.56/5,128.40
  6. Step 6: Final answer
    x = 5,494.01

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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.