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Finding the Fourth Proportional to 21,728, 32,539.74 and 18,590

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Solution

The fourth proportional to 21,728, 32,539.74 and 18,590 is: 27,840.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,728 : 32,539.74 = 18,590 : x
  2. Step 2: Convert to fraction form
    21,728/32,539.74 = 18,590/x
  3. Step 3: Cross multiply
    21,728x = 32,539.74 × 18,590
  4. Step 4: Simplify right side
    21,728x = 604,913,766.60
  5. Step 5: Solve for x
    x = 604,913,766.60/21,728
  6. Step 6: Final answer
    x = 27,840.29

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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.