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Finding the Fourth Proportional to 9,974.43, 13,770 and 7,731.27

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Solution

The fourth proportional to 9,974.43, 13,770 and 7,731.27 is: 10,673.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.43 : 13,770 = 7,731.27 : x
  2. Step 2: Convert to fraction form
    9,974.43/13,770 = 7,731.27/x
  3. Step 3: Cross multiply
    9,974.43x = 13,770 × 7,731.27
  4. Step 4: Simplify right side
    9,974.43x = 106,459,587.90
  5. Step 5: Solve for x
    x = 106,459,587.90/9,974.43
  6. Step 6: Final answer
    x = 10,673.25

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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.