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Finding the Fourth Proportional to 21,645.85, 32,472.03 and 7,603.41

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Solution

The fourth proportional to 21,645.85, 32,472.03 and 7,603.41 is: 11,406.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,645.85 : 32,472.03 = 7,603.41 : x
  2. Step 2: Convert to fraction form
    21,645.85/32,472.03 = 7,603.41/x
  3. Step 3: Cross multiply
    21,645.85x = 32,472.03 × 7,603.41
  4. Step 4: Simplify right side
    21,645.85x = 246,898,157.62
  5. Step 5: Solve for x
    x = 246,898,157.62/21,645.85
  6. Step 6: Final answer
    x = 11,406.26

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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.