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Finding the Fourth Proportional to 5,402.64, 7,455.87 and 3,164.21

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Solution

The fourth proportional to 5,402.64, 7,455.87 and 3,164.21 is: 4,366.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.64 : 7,455.87 = 3,164.21 : x
  2. Step 2: Convert to fraction form
    5,402.64/7,455.87 = 3,164.21/x
  3. Step 3: Cross multiply
    5,402.64x = 7,455.87 × 3,164.21
  4. Step 4: Simplify right side
    5,402.64x = 23,591,901.13
  5. Step 5: Solve for x
    x = 23,591,901.13/5,402.64
  6. Step 6: Final answer
    x = 4,366.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.