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Finding the Fourth Proportional to 21,640.50, 32,457.50 and 6,847.50

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Solution

The fourth proportional to 21,640.50, 32,457.50 and 6,847.50 is: 10,270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,640.50 : 32,457.50 = 6,847.50 : x
  2. Step 2: Convert to fraction form
    21,640.50/32,457.50 = 6,847.50/x
  3. Step 3: Cross multiply
    21,640.50x = 32,457.50 × 6,847.50
  4. Step 4: Simplify right side
    21,640.50x = 222,252,731.25
  5. Step 5: Solve for x
    x = 222,252,731.25/21,640.50
  6. Step 6: Final answer
    x = 10,270.22

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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.