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Finding the Fourth Proportional to 5,445.36, 8,168 and 1,549.76

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Solution

The fourth proportional to 5,445.36, 8,168 and 1,549.76 is: 2,324.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,445.36 : 8,168 = 1,549.76 : x
  2. Step 2: Convert to fraction form
    5,445.36/8,168 = 1,549.76/x
  3. Step 3: Cross multiply
    5,445.36x = 8,168 × 1,549.76
  4. Step 4: Simplify right side
    5,445.36x = 12,658,439.68
  5. Step 5: Solve for x
    x = 12,658,439.68/5,445.36
  6. Step 6: Final answer
    x = 2,324.63

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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.