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Finding the Fourth Proportional to 14,831.57, 20,468.09 and 9,992.84

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Solution

The fourth proportional to 14,831.57, 20,468.09 and 9,992.84 is: 13,790.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,831.57 : 20,468.09 = 9,992.84 : x
  2. Step 2: Convert to fraction form
    14,831.57/20,468.09 = 9,992.84/x
  3. Step 3: Cross multiply
    14,831.57x = 20,468.09 × 9,992.84
  4. Step 4: Simplify right side
    14,831.57x = 204,534,271.12
  5. Step 5: Solve for x
    x = 204,534,271.12/14,831.57
  6. Step 6: Final answer
    x = 13,790.46

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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.