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Finding the Fourth Proportional to 13,022.87, 17,980.47 and 8,313.53

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Solution

The fourth proportional to 13,022.87, 17,980.47 and 8,313.53 is: 11,478.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.87 : 17,980.47 = 8,313.53 : x
  2. Step 2: Convert to fraction form
    13,022.87/17,980.47 = 8,313.53/x
  3. Step 3: Cross multiply
    13,022.87x = 17,980.47 × 8,313.53
  4. Step 4: Simplify right side
    13,022.87x = 149,481,086.86
  5. Step 5: Solve for x
    x = 149,481,086.86/13,022.87
  6. Step 6: Final answer
    x = 11,478.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.