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Finding the Fourth Proportional to 8,650, 11,935.92 and 4,872.64

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Solution

The fourth proportional to 8,650, 11,935.92 and 4,872.64 is: 6,723.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,650 : 11,935.92 = 4,872.64 : x
  2. Step 2: Convert to fraction form
    8,650/11,935.92 = 4,872.64/x
  3. Step 3: Cross multiply
    8,650x = 11,935.92 × 4,872.64
  4. Step 4: Simplify right side
    8,650x = 58,159,441.23
  5. Step 5: Solve for x
    x = 58,159,441.23/8,650
  6. Step 6: Final answer
    x = 6,723.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.