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Finding the Fourth Proportional to 12,980.52, 17,912.07 and 7,313.49

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Solution

The fourth proportional to 12,980.52, 17,912.07 and 7,313.49 is: 10,092.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.52 : 17,912.07 = 7,313.49 : x
  2. Step 2: Convert to fraction form
    12,980.52/17,912.07 = 7,313.49/x
  3. Step 3: Cross multiply
    12,980.52x = 17,912.07 × 7,313.49
  4. Step 4: Simplify right side
    12,980.52x = 130,999,744.82
  5. Step 5: Solve for x
    x = 130,999,744.82/12,980.52
  6. Step 6: Final answer
    x = 10,092.03

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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.