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Finding the Fourth Proportional to 7,175.76, 10,766.86 and 3,885.00

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Solution

The fourth proportional to 7,175.76, 10,766.86 and 3,885.00 is: 5,829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.76 : 10,766.86 = 3,885.00 : x
  2. Step 2: Convert to fraction form
    7,175.76/10,766.86 = 3,885.00/x
  3. Step 3: Cross multiply
    7,175.76x = 10,766.86 × 3,885.00
  4. Step 4: Simplify right side
    7,175.76x = 41,829,201.01
  5. Step 5: Solve for x
    x = 41,829,201.01/7,175.76
  6. Step 6: Final answer
    x = 5,829.24

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1.5x scale

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.