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Finding the Fourth Proportional to 14,650.42, 20,211.98 and 10,831.22

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Solution

The fourth proportional to 14,650.42, 20,211.98 and 10,831.22 is: 14,942.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,650.42 : 20,211.98 = 10,831.22 : x
  2. Step 2: Convert to fraction form
    14,650.42/20,211.98 = 10,831.22/x
  3. Step 3: Cross multiply
    14,650.42x = 20,211.98 × 10,831.22
  4. Step 4: Simplify right side
    14,650.42x = 218,920,402.02
  5. Step 5: Solve for x
    x = 218,920,402.02/14,650.42
  6. Step 6: Final answer
    x = 14,942.94

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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.