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Finding the Fourth Proportional to 8,261.28, 11,402.64 and 7,028.64

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Solution

The fourth proportional to 8,261.28, 11,402.64 and 7,028.64 is: 9,701.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.28 : 11,402.64 = 7,028.64 : x
  2. Step 2: Convert to fraction form
    8,261.28/11,402.64 = 7,028.64/x
  3. Step 3: Cross multiply
    8,261.28x = 11,402.64 × 7,028.64
  4. Step 4: Simplify right side
    8,261.28x = 80,145,051.61
  5. Step 5: Solve for x
    x = 80,145,051.61/8,261.28
  6. Step 6: Final answer
    x = 9,701.29

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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.