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Finding the Fourth Proportional to 8,462.88, 12,698.64 and 6,395.49

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Solution

The fourth proportional to 8,462.88, 12,698.64 and 6,395.49 is: 9,596.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.88 : 12,698.64 = 6,395.49 : x
  2. Step 2: Convert to fraction form
    8,462.88/12,698.64 = 6,395.49/x
  3. Step 3: Cross multiply
    8,462.88x = 12,698.64 × 6,395.49
  4. Step 4: Simplify right side
    8,462.88x = 81,214,025.13
  5. Step 5: Solve for x
    x = 81,214,025.13/8,462.88
  6. Step 6: Final answer
    x = 9,596.50

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1.5x scale

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.