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Finding the Fourth Proportional to 27,406.56, 37,821.12 and 14,831.40

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Solution

The fourth proportional to 27,406.56, 37,821.12 and 14,831.40 is: 20,467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,406.56 : 37,821.12 = 14,831.40 : x
  2. Step 2: Convert to fraction form
    27,406.56/37,821.12 = 14,831.40/x
  3. Step 3: Cross multiply
    27,406.56x = 37,821.12 × 14,831.40
  4. Step 4: Simplify right side
    27,406.56x = 560,940,159.17
  5. Step 5: Solve for x
    x = 560,940,159.17/27,406.56
  6. Step 6: Final answer
    x = 20,467.37

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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.