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Finding the Fourth Proportional to 8,216.96, 12,332.32 and 4,270.64

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Solution

The fourth proportional to 8,216.96, 12,332.32 and 4,270.64 is: 6,409.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.96 : 12,332.32 = 4,270.64 : x
  2. Step 2: Convert to fraction form
    8,216.96/12,332.32 = 4,270.64/x
  3. Step 3: Cross multiply
    8,216.96x = 12,332.32 × 4,270.64
  4. Step 4: Simplify right side
    8,216.96x = 52,666,899.08
  5. Step 5: Solve for x
    x = 52,666,899.08/8,216.96
  6. Step 6: Final answer
    x = 6,409.54

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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.