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Finding the Fourth Proportional to 7,182.53, 9,909.47 and 4,196.67

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Solution

The fourth proportional to 7,182.53, 9,909.47 and 4,196.67 is: 5,789.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.53 : 9,909.47 = 4,196.67 : x
  2. Step 2: Convert to fraction form
    7,182.53/9,909.47 = 4,196.67/x
  3. Step 3: Cross multiply
    7,182.53x = 9,909.47 × 4,196.67
  4. Step 4: Simplify right side
    7,182.53x = 41,586,775.46
  5. Step 5: Solve for x
    x = 41,586,775.46/7,182.53
  6. Step 6: Final answer
    x = 5,789.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.