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Finding the Fourth Proportional to 13,694.61, 18,898.57 and 7,406.98

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Solution

The fourth proportional to 13,694.61, 18,898.57 and 7,406.98 is: 10,221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.61 : 18,898.57 = 7,406.98 : x
  2. Step 2: Convert to fraction form
    13,694.61/18,898.57 = 7,406.98/x
  3. Step 3: Cross multiply
    13,694.61x = 18,898.57 × 7,406.98
  4. Step 4: Simplify right side
    13,694.61x = 139,981,330.02
  5. Step 5: Solve for x
    x = 139,981,330.02/13,694.61
  6. Step 6: Final answer
    x = 10,221.64

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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.