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Finding the Fourth Proportional to 8,615.75, 12,923.67 and 2,459.75

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Solution

The fourth proportional to 8,615.75, 12,923.67 and 2,459.75 is: 3,689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,615.75 : 12,923.67 = 2,459.75 : x
  2. Step 2: Convert to fraction form
    8,615.75/12,923.67 = 2,459.75/x
  3. Step 3: Cross multiply
    8,615.75x = 12,923.67 × 2,459.75
  4. Step 4: Simplify right side
    8,615.75x = 31,788,997.28
  5. Step 5: Solve for x
    x = 31,788,997.28/8,615.75
  6. Step 6: Final answer
    x = 3,689.64

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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.