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Finding the Fourth Proportional to 5,402.64, 7,450.68 and 3,409.74

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Solution

The fourth proportional to 5,402.64, 7,450.68 and 3,409.74 is: 4,702.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.64 : 7,450.68 = 3,409.74 : x
  2. Step 2: Convert to fraction form
    5,402.64/7,450.68 = 3,409.74/x
  3. Step 3: Cross multiply
    5,402.64x = 7,450.68 × 3,409.74
  4. Step 4: Simplify right side
    5,402.64x = 25,404,881.62
  5. Step 5: Solve for x
    x = 25,404,881.62/5,402.64
  6. Step 6: Final answer
    x = 4,702.31

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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.