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Finding the Fourth Proportional to 21,825, 32,737.50 and 5,409

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Solution

The fourth proportional to 21,825, 32,737.50 and 5,409 is: 8,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,825 : 32,737.50 = 5,409 : x
  2. Step 2: Convert to fraction form
    21,825/32,737.50 = 5,409/x
  3. Step 3: Cross multiply
    21,825x = 32,737.50 × 5,409
  4. Step 4: Simplify right side
    21,825x = 177,077,137.50
  5. Step 5: Solve for x
    x = 177,077,137.50/21,825
  6. Step 6: Final answer
    x = 8,113.50

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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.