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Finding the Fourth Proportional to 13,712.46, 18,923.19 and 7,424.83

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Solution

The fourth proportional to 13,712.46, 18,923.19 and 7,424.83 is: 10,246.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.46 : 18,923.19 = 7,424.83 : x
  2. Step 2: Convert to fraction form
    13,712.46/18,923.19 = 7,424.83/x
  3. Step 3: Cross multiply
    13,712.46x = 18,923.19 × 7,424.83
  4. Step 4: Simplify right side
    13,712.46x = 140,501,468.81
  5. Step 5: Solve for x
    x = 140,501,468.81/13,712.46
  6. Step 6: Final answer
    x = 10,246.26

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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.