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Finding the Fourth Proportional to 5,509.44, 8,264 and 1,613.76

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Solution

The fourth proportional to 5,509.44, 8,264 and 1,613.76 is: 2,420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.44 : 8,264 = 1,613.76 : x
  2. Step 2: Convert to fraction form
    5,509.44/8,264 = 1,613.76/x
  3. Step 3: Cross multiply
    5,509.44x = 8,264 × 1,613.76
  4. Step 4: Simplify right side
    5,509.44x = 13,336,112.64
  5. Step 5: Solve for x
    x = 13,336,112.64/5,509.44
  6. Step 6: Final answer
    x = 2,420.59

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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.