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Finding the Fourth Proportional to 6,507.36, 9,762.24 and 3,879.42

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Solution

The fourth proportional to 6,507.36, 9,762.24 and 3,879.42 is: 5,819.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.36 : 9,762.24 = 3,879.42 : x
  2. Step 2: Convert to fraction form
    6,507.36/9,762.24 = 3,879.42/x
  3. Step 3: Cross multiply
    6,507.36x = 9,762.24 × 3,879.42
  4. Step 4: Simplify right side
    6,507.36x = 37,871,829.10
  5. Step 5: Solve for x
    x = 37,871,829.10/6,507.36
  6. Step 6: Final answer
    x = 5,819.85

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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.