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Finding the Fourth Proportional to 21,860.50, 32,790.84 and 8,009.50

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Solution

The fourth proportional to 21,860.50, 32,790.84 and 8,009.50 is: 12,014.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,860.50 : 32,790.84 = 8,009.50 : x
  2. Step 2: Convert to fraction form
    21,860.50/32,790.84 = 8,009.50/x
  3. Step 3: Cross multiply
    21,860.50x = 32,790.84 × 8,009.50
  4. Step 4: Simplify right side
    21,860.50x = 262,638,232.98
  5. Step 5: Solve for x
    x = 262,638,232.98/21,860.50
  6. Step 6: Final answer
    x = 12,014.28

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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.