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Finding the Fourth Proportional to 14,831.52, 20,473.40 and 9,728.98

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Solution

The fourth proportional to 14,831.52, 20,473.40 and 9,728.98 is: 13,429.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,831.52 : 20,473.40 = 9,728.98 : x
  2. Step 2: Convert to fraction form
    14,831.52/20,473.40 = 9,728.98/x
  3. Step 3: Cross multiply
    14,831.52x = 20,473.40 × 9,728.98
  4. Step 4: Simplify right side
    14,831.52x = 199,185,272.27
  5. Step 5: Solve for x
    x = 199,185,272.27/14,831.52
  6. Step 6: Final answer
    x = 13,429.86

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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.