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Finding the Fourth Proportional to 21,374.50, 32,064.32 and 8,902.98

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Solution

The fourth proportional to 21,374.50, 32,064.32 and 8,902.98 is: 13,355.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,374.50 : 32,064.32 = 8,902.98 : x
  2. Step 2: Convert to fraction form
    21,374.50/32,064.32 = 8,902.98/x
  3. Step 3: Cross multiply
    21,374.50x = 32,064.32 × 8,902.98
  4. Step 4: Simplify right side
    21,374.50x = 285,467,999.67
  5. Step 5: Solve for x
    x = 285,467,999.67/21,374.50
  6. Step 6: Final answer
    x = 13,355.54

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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.