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Finding the Fourth Proportional to 9,928.44, 13,692.87 and 7,090.56

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Solution

The fourth proportional to 9,928.44, 13,692.87 and 7,090.56 is: 9,778.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,928.44 : 13,692.87 = 7,090.56 : x
  2. Step 2: Convert to fraction form
    9,928.44/13,692.87 = 7,090.56/x
  3. Step 3: Cross multiply
    9,928.44x = 13,692.87 × 7,090.56
  4. Step 4: Simplify right side
    9,928.44x = 97,090,116.31
  5. Step 5: Solve for x
    x = 97,090,116.31/9,928.44
  6. Step 6: Final answer
    x = 9,778.99

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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.