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Finding the Fourth Proportional to 5,402.16, 7,454.70 and 3,164.40

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Solution

The fourth proportional to 5,402.16, 7,454.70 and 3,164.40 is: 4,366.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.16 : 7,454.70 = 3,164.40 : x
  2. Step 2: Convert to fraction form
    5,402.16/7,454.70 = 3,164.40/x
  3. Step 3: Cross multiply
    5,402.16x = 7,454.70 × 3,164.40
  4. Step 4: Simplify right side
    5,402.16x = 23,589,652.68
  5. Step 5: Solve for x
    x = 23,589,652.68/5,402.16
  6. Step 6: Final answer
    x = 4,366.71

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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.