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Finding the Fourth Proportional to 21,693, 32,517.36 and 12,313.20

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Solution

The fourth proportional to 21,693, 32,517.36 and 12,313.20 is: 18,457.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,693 : 32,517.36 = 12,313.20 : x
  2. Step 2: Convert to fraction form
    21,693/32,517.36 = 12,313.20/x
  3. Step 3: Cross multiply
    21,693x = 32,517.36 × 12,313.20
  4. Step 4: Simplify right side
    21,693x = 400,392,757.15
  5. Step 5: Solve for x
    x = 400,392,757.15/21,693
  6. Step 6: Final answer
    x = 18,457.23

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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.