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Finding the Fourth Proportional to 6,368.64, 9,558.36 and 3,449.40

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Solution

The fourth proportional to 6,368.64, 9,558.36 and 3,449.40 is: 5,177.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.64 : 9,558.36 = 3,449.40 : x
  2. Step 2: Convert to fraction form
    6,368.64/9,558.36 = 3,449.40/x
  3. Step 3: Cross multiply
    6,368.64x = 9,558.36 × 3,449.40
  4. Step 4: Simplify right side
    6,368.64x = 32,970,606.98
  5. Step 5: Solve for x
    x = 32,970,606.98/6,368.64
  6. Step 6: Final answer
    x = 5,177.02

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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.