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Finding the Fourth Proportional to 22,942.48, 31,649.90 and 14,440.72

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Solution

The fourth proportional to 22,942.48, 31,649.90 and 14,440.72 is: 19,921.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,942.48 : 31,649.90 = 14,440.72 : x
  2. Step 2: Convert to fraction form
    22,942.48/31,649.90 = 14,440.72/x
  3. Step 3: Cross multiply
    22,942.48x = 31,649.90 × 14,440.72
  4. Step 4: Simplify right side
    22,942.48x = 457,047,343.93
  5. Step 5: Solve for x
    x = 457,047,343.93/22,942.48
  6. Step 6: Final answer
    x = 19,921.44

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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.