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Finding the Fourth Proportional to 6,443.52, 9,664.24 and 5,354.88

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Solution

The fourth proportional to 6,443.52, 9,664.24 and 5,354.88 is: 8,031.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.52 : 9,664.24 = 5,354.88 : x
  2. Step 2: Convert to fraction form
    6,443.52/9,664.24 = 5,354.88/x
  3. Step 3: Cross multiply
    6,443.52x = 9,664.24 × 5,354.88
  4. Step 4: Simplify right side
    6,443.52x = 51,750,845.49
  5. Step 5: Solve for x
    x = 51,750,845.49/6,443.52
  6. Step 6: Final answer
    x = 8,031.46

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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.