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Finding the Fourth Proportional to 5,372.64, 7,408.80 and 5,059.08

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Solution

The fourth proportional to 5,372.64, 7,408.80 and 5,059.08 is: 6,976.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,372.64 : 7,408.80 = 5,059.08 : x
  2. Step 2: Convert to fraction form
    5,372.64/7,408.80 = 5,059.08/x
  3. Step 3: Cross multiply
    5,372.64x = 7,408.80 × 5,059.08
  4. Step 4: Simplify right side
    5,372.64x = 37,481,711.90
  5. Step 5: Solve for x
    x = 37,481,711.90/5,372.64
  6. Step 6: Final answer
    x = 6,976.40

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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.