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Finding the Fourth Proportional to 6,978.56, 9,631.32 and 3,994.88

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Solution

The fourth proportional to 6,978.56, 9,631.32 and 3,994.88 is: 5,513.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.56 : 9,631.32 = 3,994.88 : x
  2. Step 2: Convert to fraction form
    6,978.56/9,631.32 = 3,994.88/x
  3. Step 3: Cross multiply
    6,978.56x = 9,631.32 × 3,994.88
  4. Step 4: Simplify right side
    6,978.56x = 38,475,967.64
  5. Step 5: Solve for x
    x = 38,475,967.64/6,978.56
  6. Step 6: Final answer
    x = 5,513.45

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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.