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Finding the Fourth Proportional to 6,462, 9,697.86 and 5,178.96

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Solution

The fourth proportional to 6,462, 9,697.86 and 5,178.96 is: 7,772.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462 : 9,697.86 = 5,178.96 : x
  2. Step 2: Convert to fraction form
    6,462/9,697.86 = 5,178.96/x
  3. Step 3: Cross multiply
    6,462x = 9,697.86 × 5,178.96
  4. Step 4: Simplify right side
    6,462x = 50,224,829.03
  5. Step 5: Solve for x
    x = 50,224,829.03/6,462
  6. Step 6: Final answer
    x = 7,772.34

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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.