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Finding the Fourth Proportional to 8,429.76, 12,638.16 and 4,044.78

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Solution

The fourth proportional to 8,429.76, 12,638.16 and 4,044.78 is: 6,064.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.76 : 12,638.16 = 4,044.78 : x
  2. Step 2: Convert to fraction form
    8,429.76/12,638.16 = 4,044.78/x
  3. Step 3: Cross multiply
    8,429.76x = 12,638.16 × 4,044.78
  4. Step 4: Simplify right side
    8,429.76x = 51,118,576.80
  5. Step 5: Solve for x
    x = 51,118,576.80/8,429.76
  6. Step 6: Final answer
    x = 6,064.06

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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.