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Finding the Fourth Proportional to 7,424.99, 11,137.86 and 1,878.38

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Solution

The fourth proportional to 7,424.99, 11,137.86 and 1,878.38 is: 2,817.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,424.99 : 11,137.86 = 1,878.38 : x
  2. Step 2: Convert to fraction form
    7,424.99/11,137.86 = 1,878.38/x
  3. Step 3: Cross multiply
    7,424.99x = 11,137.86 × 1,878.38
  4. Step 4: Simplify right side
    7,424.99x = 20,921,077.78
  5. Step 5: Solve for x
    x = 20,921,077.78/7,424.99
  6. Step 6: Final answer
    x = 2,817.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.