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Finding the Fourth Proportional to 13,940.82, 20,867.49 and 7,347.02

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Solution

The fourth proportional to 13,940.82, 20,867.49 and 7,347.02 is: 10,997.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940.82 : 20,867.49 = 7,347.02 : x
  2. Step 2: Convert to fraction form
    13,940.82/20,867.49 = 7,347.02/x
  3. Step 3: Cross multiply
    13,940.82x = 20,867.49 × 7,347.02
  4. Step 4: Simplify right side
    13,940.82x = 153,313,762.04
  5. Step 5: Solve for x
    x = 153,313,762.04/13,940.82
  6. Step 6: Final answer
    x = 10,997.47

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1.5x scale

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.