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Finding the Fourth Proportional to 7,176.24, 9,900.21 and 5,182.44

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Solution

The fourth proportional to 7,176.24, 9,900.21 and 5,182.44 is: 7,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.24 : 9,900.21 = 5,182.44 : x
  2. Step 2: Convert to fraction form
    7,176.24/9,900.21 = 5,182.44/x
  3. Step 3: Cross multiply
    7,176.24x = 9,900.21 × 5,182.44
  4. Step 4: Simplify right side
    7,176.24x = 51,307,244.31
  5. Step 5: Solve for x
    x = 51,307,244.31/7,176.24
  6. Step 6: Final answer
    x = 7,149.60

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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.