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Finding the Fourth Proportional to 8,475.74, 12,708.75 and 7,986.50

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Solution

The fourth proportional to 8,475.74, 12,708.75 and 7,986.50 is: 11,975.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,475.74 : 12,708.75 = 7,986.50 : x
  2. Step 2: Convert to fraction form
    8,475.74/12,708.75 = 7,986.50/x
  3. Step 3: Cross multiply
    8,475.74x = 12,708.75 × 7,986.50
  4. Step 4: Simplify right side
    8,475.74x = 101,498,431.88
  5. Step 5: Solve for x
    x = 101,498,431.88/8,475.74
  6. Step 6: Final answer
    x = 11,975.17

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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.