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Finding the Fourth Proportional to 8,223.66, 12,313.53 and 4,319.82

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Solution

The fourth proportional to 8,223.66, 12,313.53 and 4,319.82 is: 6,468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.66 : 12,313.53 = 4,319.82 : x
  2. Step 2: Convert to fraction form
    8,223.66/12,313.53 = 4,319.82/x
  3. Step 3: Cross multiply
    8,223.66x = 12,313.53 × 4,319.82
  4. Step 4: Simplify right side
    8,223.66x = 53,192,233.16
  5. Step 5: Solve for x
    x = 53,192,233.16/8,223.66
  6. Step 6: Final answer
    x = 6,468.19

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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.