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Finding the Fourth Proportional to 9,974.88, 13,770 and 5,782.32

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Solution

The fourth proportional to 9,974.88, 13,770 and 5,782.32 is: 7,982.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.88 : 13,770 = 5,782.32 : x
  2. Step 2: Convert to fraction form
    9,974.88/13,770 = 5,782.32/x
  3. Step 3: Cross multiply
    9,974.88x = 13,770 × 5,782.32
  4. Step 4: Simplify right side
    9,974.88x = 79,622,546.40
  5. Step 5: Solve for x
    x = 79,622,546.40/9,974.88
  6. Step 6: Final answer
    x = 7,982.31

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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.