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Finding the Fourth Proportional to 6,182.58, 9,261.50 and 3,716.06

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Solution

The fourth proportional to 6,182.58, 9,261.50 and 3,716.06 is: 5,566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.58 : 9,261.50 = 3,716.06 : x
  2. Step 2: Convert to fraction form
    6,182.58/9,261.50 = 3,716.06/x
  3. Step 3: Cross multiply
    6,182.58x = 9,261.50 × 3,716.06
  4. Step 4: Simplify right side
    6,182.58x = 34,416,289.69
  5. Step 5: Solve for x
    x = 34,416,289.69/6,182.58
  6. Step 6: Final answer
    x = 5,566.65

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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.