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Finding the Fourth Proportional to 8,661, 11,952.74 and 4,935

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Solution

The fourth proportional to 8,661, 11,952.74 and 4,935 is: 6,810.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,661 : 11,952.74 = 4,935 : x
  2. Step 2: Convert to fraction form
    8,661/11,952.74 = 4,935/x
  3. Step 3: Cross multiply
    8,661x = 11,952.74 × 4,935
  4. Step 4: Simplify right side
    8,661x = 58,986,771.90
  5. Step 5: Solve for x
    x = 58,986,771.90/8,661
  6. Step 6: Final answer
    x = 6,810.62

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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.