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Finding the Fourth Proportional to 20,745.30, 31,051.80 and 16,371.30

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Solution

The fourth proportional to 20,745.30, 31,051.80 and 16,371.30 is: 24,504.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,745.30 : 31,051.80 = 16,371.30 : x
  2. Step 2: Convert to fraction form
    20,745.30/31,051.80 = 16,371.30/x
  3. Step 3: Cross multiply
    20,745.30x = 31,051.80 × 16,371.30
  4. Step 4: Simplify right side
    20,745.30x = 508,358,333.34
  5. Step 5: Solve for x
    x = 508,358,333.34/20,745.30
  6. Step 6: Final answer
    x = 24,504.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.