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Finding the Fourth Proportional to 13,624.29, 20,437.65 and 5,831.28

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Solution

The fourth proportional to 13,624.29, 20,437.65 and 5,831.28 is: 8,747.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624.29 : 20,437.65 = 5,831.28 : x
  2. Step 2: Convert to fraction form
    13,624.29/20,437.65 = 5,831.28/x
  3. Step 3: Cross multiply
    13,624.29x = 20,437.65 × 5,831.28
  4. Step 4: Simplify right side
    13,624.29x = 119,177,659.69
  5. Step 5: Solve for x
    x = 119,177,659.69/13,624.29
  6. Step 6: Final answer
    x = 8,747.44

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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.