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Finding the Fourth Proportional to 9,990.80, 13,785 and 5,796.56

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Solution

The fourth proportional to 9,990.80, 13,785 and 5,796.56 is: 7,997.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,990.80 : 13,785 = 5,796.56 : x
  2. Step 2: Convert to fraction form
    9,990.80/13,785 = 5,796.56/x
  3. Step 3: Cross multiply
    9,990.80x = 13,785 × 5,796.56
  4. Step 4: Simplify right side
    9,990.80x = 79,905,579.60
  5. Step 5: Solve for x
    x = 79,905,579.60/9,990.80
  6. Step 6: Final answer
    x = 7,997.92

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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.