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Finding the Fourth Proportional to 8,500.84, 12,748.02 and 2,576.52

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Solution

The fourth proportional to 8,500.84, 12,748.02 and 2,576.52 is: 3,863.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.84 : 12,748.02 = 2,576.52 : x
  2. Step 2: Convert to fraction form
    8,500.84/12,748.02 = 2,576.52/x
  3. Step 3: Cross multiply
    8,500.84x = 12,748.02 × 2,576.52
  4. Step 4: Simplify right side
    8,500.84x = 32,845,528.49
  5. Step 5: Solve for x
    x = 32,845,528.49/8,500.84
  6. Step 6: Final answer
    x = 3,863.80

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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.