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Finding the Fourth Proportional to 3,509.76, 5,256.96 and 2,480.64

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Solution

The fourth proportional to 3,509.76, 5,256.96 and 2,480.64 is: 3,715.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.76 : 5,256.96 = 2,480.64 : x
  2. Step 2: Convert to fraction form
    3,509.76/5,256.96 = 2,480.64/x
  3. Step 3: Cross multiply
    3,509.76x = 5,256.96 × 2,480.64
  4. Step 4: Simplify right side
    3,509.76x = 13,040,625.25
  5. Step 5: Solve for x
    x = 13,040,625.25/3,509.76
  6. Step 6: Final answer
    x = 3,715.53

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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.