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Finding the Fourth Proportional to 6,655.78, 9,978.41 and 3,322.32

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Solution

The fourth proportional to 6,655.78, 9,978.41 and 3,322.32 is: 4,980.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.78 : 9,978.41 = 3,322.32 : x
  2. Step 2: Convert to fraction form
    6,655.78/9,978.41 = 3,322.32/x
  3. Step 3: Cross multiply
    6,655.78x = 9,978.41 × 3,322.32
  4. Step 4: Simplify right side
    6,655.78x = 33,151,423.31
  5. Step 5: Solve for x
    x = 33,151,423.31/6,655.78
  6. Step 6: Final answer
    x = 4,980.85

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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.