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Finding the Fourth Proportional to 6,507.67, 9,765.39 and 5,978.30

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Solution

The fourth proportional to 6,507.67, 9,765.39 and 5,978.30 is: 8,971.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.67 : 9,765.39 = 5,978.30 : x
  2. Step 2: Convert to fraction form
    6,507.67/9,765.39 = 5,978.30/x
  3. Step 3: Cross multiply
    6,507.67x = 9,765.39 × 5,978.30
  4. Step 4: Simplify right side
    6,507.67x = 58,380,455.45
  5. Step 5: Solve for x
    x = 58,380,455.45/6,507.67
  6. Step 6: Final answer
    x = 8,971.03

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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.