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Finding the Fourth Proportional to 8,757.47, 13,128.71 and 3,823.49

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Solution

The fourth proportional to 8,757.47, 13,128.71 and 3,823.49 is: 5,731.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,757.47 : 13,128.71 = 3,823.49 : x
  2. Step 2: Convert to fraction form
    8,757.47/13,128.71 = 3,823.49/x
  3. Step 3: Cross multiply
    8,757.47x = 13,128.71 × 3,823.49
  4. Step 4: Simplify right side
    8,757.47x = 50,197,406.64
  5. Step 5: Solve for x
    x = 50,197,406.64/8,757.47
  6. Step 6: Final answer
    x = 5,731.96

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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.