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Finding the Fourth Proportional to 9,708.77, 14,563.15 and 7,751.81

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Solution

The fourth proportional to 9,708.77, 14,563.15 and 7,751.81 is: 11,627.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.77 : 14,563.15 = 7,751.81 : x
  2. Step 2: Convert to fraction form
    9,708.77/14,563.15 = 7,751.81/x
  3. Step 3: Cross multiply
    9,708.77x = 14,563.15 × 7,751.81
  4. Step 4: Simplify right side
    9,708.77x = 112,890,771.80
  5. Step 5: Solve for x
    x = 112,890,771.80/9,708.77
  6. Step 6: Final answer
    x = 11,627.71

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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.