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Finding the Fourth Proportional to 12,491.24, 18,737.46 and 4,699.46

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Solution

The fourth proportional to 12,491.24, 18,737.46 and 4,699.46 is: 7,049.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,491.24 : 18,737.46 = 4,699.46 : x
  2. Step 2: Convert to fraction form
    12,491.24/18,737.46 = 4,699.46/x
  3. Step 3: Cross multiply
    12,491.24x = 18,737.46 × 4,699.46
  4. Step 4: Simplify right side
    12,491.24x = 88,055,943.77
  5. Step 5: Solve for x
    x = 88,055,943.77/12,491.24
  6. Step 6: Final answer
    x = 7,049.42

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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.