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Finding the Fourth Proportional to 3,497.60, 5,245.64 and 1,157.05

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Solution

The fourth proportional to 3,497.60, 5,245.64 and 1,157.05 is: 1,735.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.60 : 5,245.64 = 1,157.05 : x
  2. Step 2: Convert to fraction form
    3,497.60/5,245.64 = 1,157.05/x
  3. Step 3: Cross multiply
    3,497.60x = 5,245.64 × 1,157.05
  4. Step 4: Simplify right side
    3,497.60x = 6,069,467.76
  5. Step 5: Solve for x
    x = 6,069,467.76/3,497.60
  6. Step 6: Final answer
    x = 1,735.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.