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Finding the Fourth Proportional to 13,831.74, 19,087.14 and 8,463.10

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Solution

The fourth proportional to 13,831.74, 19,087.14 and 8,463.10 is: 11,678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,831.74 : 19,087.14 = 8,463.10 : x
  2. Step 2: Convert to fraction form
    13,831.74/19,087.14 = 8,463.10/x
  3. Step 3: Cross multiply
    13,831.74x = 19,087.14 × 8,463.10
  4. Step 4: Simplify right side
    13,831.74x = 161,536,374.53
  5. Step 5: Solve for x
    x = 161,536,374.53/13,831.74
  6. Step 6: Final answer
    x = 11,678.67

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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.