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Finding the Fourth Proportional to 21,835.20, 32,704.20 and 21,349.20

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Solution

The fourth proportional to 21,835.20, 32,704.20 and 21,349.20 is: 31,976.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,835.20 : 32,704.20 = 21,349.20 : x
  2. Step 2: Convert to fraction form
    21,835.20/32,704.20 = 21,349.20/x
  3. Step 3: Cross multiply
    21,835.20x = 32,704.20 × 21,349.20
  4. Step 4: Simplify right side
    21,835.20x = 698,208,506.64
  5. Step 5: Solve for x
    x = 698,208,506.64/21,835.20
  6. Step 6: Final answer
    x = 31,976.28

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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.