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Finding the Fourth Proportional to 8,505.66, 12,751.50 and 3,758.46

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Solution

The fourth proportional to 8,505.66, 12,751.50 and 3,758.46 is: 5,634.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.66 : 12,751.50 = 3,758.46 : x
  2. Step 2: Convert to fraction form
    8,505.66/12,751.50 = 3,758.46/x
  3. Step 3: Cross multiply
    8,505.66x = 12,751.50 × 3,758.46
  4. Step 4: Simplify right side
    8,505.66x = 47,926,002.69
  5. Step 5: Solve for x
    x = 47,926,002.69/8,505.66
  6. Step 6: Final answer
    x = 5,634.60

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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.