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Finding the Fourth Proportional to 13,029.98, 17,980.51 and 8,313.75

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Solution

The fourth proportional to 13,029.98, 17,980.51 and 8,313.75 is: 11,472.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.98 : 17,980.51 = 8,313.75 : x
  2. Step 2: Convert to fraction form
    13,029.98/17,980.51 = 8,313.75/x
  3. Step 3: Cross multiply
    13,029.98x = 17,980.51 × 8,313.75
  4. Step 4: Simplify right side
    13,029.98x = 149,485,465.01
  5. Step 5: Solve for x
    x = 149,485,465.01/13,029.98
  6. Step 6: Final answer
    x = 11,472.42

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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.