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Finding the Fourth Proportional to 5,651.64, 8,480.16 and 3,459.15

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Solution

The fourth proportional to 5,651.64, 8,480.16 and 3,459.15 is: 5,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.64 : 8,480.16 = 3,459.15 : x
  2. Step 2: Convert to fraction form
    5,651.64/8,480.16 = 3,459.15/x
  3. Step 3: Cross multiply
    5,651.64x = 8,480.16 × 3,459.15
  4. Step 4: Simplify right side
    5,651.64x = 29,334,145.46
  5. Step 5: Solve for x
    x = 29,334,145.46/5,651.64
  6. Step 6: Final answer
    x = 5,190.38

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Why These Related Problems?

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