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Finding the Fourth Proportional to 6,468.64, 9,721.20 and 4,429.60

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Solution

The fourth proportional to 6,468.64, 9,721.20 and 4,429.60 is: 6,656.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.64 : 9,721.20 = 4,429.60 : x
  2. Step 2: Convert to fraction form
    6,468.64/9,721.20 = 4,429.60/x
  3. Step 3: Cross multiply
    6,468.64x = 9,721.20 × 4,429.60
  4. Step 4: Simplify right side
    6,468.64x = 43,061,027.52
  5. Step 5: Solve for x
    x = 43,061,027.52/6,468.64
  6. Step 6: Final answer
    x = 6,656.89

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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.